LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 12/941, 78/112

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 12/941, 78/112 i.e 6/105392 easily. The following is the detailed procedure to determine the greatest common factor of fractions 12/941, 78/112.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 12/941,78/112?

Given fractions are 12/941,78/112

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 12/941,78/112, numerators are 12,78

Denominators are 941,112

The GCF of 12,78 is 6 .

LCM of 941,112 is 105392.

The greatest common factor of 12/941,78/112 = [GCF of 12,78]/[LCM of 941,112]= 6/105392

Therefore, the GCF of 12/941,78/112 is 6/105392.

Greatest Common Factor of 12,78

To find the highest common factor of 12,78, we have to find the factors of both numbers and list the highest common factor.

The factors of 12 are 1, 2, 3, 4, 6, 12

The factors of 78 are 1, 2, 3, 6, 13, 26, 39, 78

The HCF of 12,78 is 6.

Lets's calculate GCF of 12,78

Greatest Common Factor (GCF) of 12,78 By Common Division

2 12, 78
3 6, 39
2, 13

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 12,78 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,78 By Matching Biggest Common Factor Method

Now, list down the factors of 12

:

1,2,3,4,6,12

Now, list down the factors of 78

:

1,2,3,6,13,26,39,78

Greatest Common Factor

We found the factors 12,78 . The biggest common factor number is the GCF number.
So the greatest common factor 12,78 is 6.

Lets's calculate LCM of 941,112

Lowest Common Multiple of 941,112 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 105392

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/105392

Therefore, the GCF of Fractions 12/941,78/112 is 6/105392

Least Common Multiple of 941,112 with GCF Formula

Least Common Multiple of 941,112 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 941,112 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(941,112) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(941,112) x common factors =1 x 1 = 1

LCM(941,112) = ( 941 × 112 ) / 1

LCM(941,112) = 105392 / 1

LCM(941,112) = 105392


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 12/941, 78/112

1. What is the HCF of 12,78?

The HCF of 12,78 is 6

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 12/941, 78/112?

Answer: GCF of Numerators as per given numbers 12/941, 78/112 is

GCF of Numerators i.e. for 12,78 is 6

LCM of denominators i.e. for 941,112 is 105392.

Thus, GCF of Fractions is 6/105392.Finally, GCF of Fractions for 12/941, 78/112 is 6/105392.