How to Find GCF of 92/43, 967/97, 969/749?

GCF of 92/43, 967/97, 969/749

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 92/43, 967/97, 969/749 i.e 1/3124079 easily. The following is the detailed procedure to determine the greatest common factor of fractions 92/43, 967/97, 969/749.

Enter two or more fractions separated by "commas"

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

What is the GCF of 92/43,967/97,969/749?

Given fractions are 92/43,967/97,969/749

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 92/43,967/97,969/749, numerators are 92,967,969

Denominators are 43,97,749

The GCF of 92,967,969 is 1 .

LCM of 43,97,749 is 3124079.

The greatest common factor of 92/43,967/97,969/749 = [GCF of 92,967,969]/[LCM of 43,97,749]= 1/3124079

Therefore, the GCF of 92/43,967/97,969/749 is 1/3124079.

Greatest Common Factor of 92,967,969

To find the highest common factor of 92,967,969, we have to find the factors of both numbers and list the highest common factor.

The factors of 92 are 1, 2, 4, 23, 46, 92

The factors of 967 are 1, 967

The factors of 969 are 1, 3, 17, 19, 51, 57, 323, 969

The HCF of 92,967,969 is 1.

Lets's calculate GCF of 92,967,969

Greatest Common Factor (GCF) of 92,967,969 By Common Division

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

Greatest Common Factor of 92,967,969 By Matching Biggest Common Factor Method

Now, list down the factors of 92

1,2,4,23,46,92

Now, list down the factors of 967

1,967

Now, list down the factors of 969

1,3,17,19,51,57,323,969

Greatest Common Factor

We found the factors 92,967,969 . The biggest common factor number is the GCF number.
So the greatest common factor 92,967,969 is 1.

Lets's calculate LCM of 43,97,749

Lowest Common Multiple of 43,97,749 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3124079

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3124079

Therefore, the GCF of Fractions 92/43,967/97,969/749 is 1/3124079

Least Common Multiple of 43,97,749 with GCF Formula

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

We need to calculate greatest common factor of 43,97,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,97,749) = 1

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

GCF(43,97,749) x common factors =1 x 1 = 1

LCM(43,97,749) = ( 43 × 97 × 749 ) / 1

LCM(43,97,749) = 3124079 / 1

LCM(43,97,749) = 3124079

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 92/43, 967/97, 969/749

1. What is the HCF of 92,967,969?

The HCF of 92,967,969 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 92/43, 967/97, 969/749?

Answer: GCF of Numerators as per given numbers 92/43, 967/97, 969/749 is

GCF of Numerators i.e. for 92,967,969 is 1

LCM of denominators i.e. for 43,97,749 is 3124079.

Thus, GCF of Fractions is 1/3124079.Finally, GCF of Fractions for 92/43, 967/97, 969/749 is 1/3124079.