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 881/92, 958/105

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 881/92, 958/105 i.e 1/9660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 881/92, 958/105.

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 881/92,958/105?

Given fractions are 881/92,958/105

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 881/92,958/105, numerators are 881,958

Denominators are 92,105

The GCF of 881,958 is 1 .

LCM of 92,105 is 9660.

The greatest common factor of 881/92,958/105 = [GCF of 881,958]/[LCM of 92,105]= 1/9660

Therefore, the GCF of 881/92,958/105 is 1/9660.

Greatest Common Factor of 881,958

To find the highest common factor of 881,958, we have to find the factors of both numbers and list the highest common factor.

The factors of 881 are 1, 881

The factors of 958 are 1, 2, 479, 958

The HCF of 881,958 is 1.

Lets's calculate GCF of 881,958

Greatest Common Factor (GCF) of 881,958 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 881,958 By Matching Biggest Common Factor Method

Greatest Common Factor of 881,958 By Matching Biggest Common Factor Method

Now, list down the factors of 881

:

1,881

Now, list down the factors of 958

:

1,2,479,958

Greatest Common Factor

We found the factors 881,958 . The biggest common factor number is the GCF number.
So the greatest common factor 881,958 is 1.

Lets's calculate LCM of 92,105

Lowest Common Multiple of 92,105 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 9660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9660

Therefore, the GCF of Fractions 881/92,958/105 is 1/9660

Least Common Multiple of 92,105 with GCF Formula

Least Common Multiple of 92,105 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 92,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,105) = 1

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

GCF(92,105) x common factors =1 x 1 = 1

LCM(92,105) = ( 92 × 105 ) / 1

LCM(92,105) = 9660 / 1

LCM(92,105) = 9660


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 881/92, 958/105

1. What is the HCF of 881,958?

The HCF of 881,958 is 1

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 881/92, 958/105?

Answer: GCF of Numerators as per given numbers 881/92, 958/105 is

GCF of Numerators i.e. for 881,958 is 1

LCM of denominators i.e. for 92,105 is 9660.

Thus, GCF of Fractions is 1/9660.Finally, GCF of Fractions for 881/92, 958/105 is 1/9660.