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GCF of 992/60, 969/274

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 992/60, 969/274 i.e 1/8220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 992/60, 969/274.

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 992/60,969/274?

Given fractions are 992/60,969/274

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 992/60,969/274, numerators are 992,969

Denominators are 60,274

The GCF of 992,969 is 1 .

LCM of 60,274 is 8220.

The greatest common factor of 992/60,969/274 = [GCF of 992,969]/[LCM of 60,274]= 1/8220

Therefore, the GCF of 992/60,969/274 is 1/8220.

Greatest Common Factor of 992,969

To find the highest common factor of 992,969, we have to find the factors of both numbers and list the highest common factor.

The factors of 992 are 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

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

The HCF of 992,969 is 1.

Lets's calculate GCF of 992,969

Greatest Common Factor (GCF) of 992,969 By Common Division

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

Greatest Common Factor of 992,969 By Matching Biggest Common Factor Method

Greatest Common Factor of 992,969 By Matching Biggest Common Factor Method

Now, list down the factors of 992

:

1,2,4,8,16,31,32,62,124,248,496,992

Now, list down the factors of 969

:

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

Greatest Common Factor

We found the factors 992,969 . The biggest common factor number is the GCF number.
So the greatest common factor 992,969 is 1.

Lets's calculate LCM of 60,274

Lowest Common Multiple of 60,274 using Common Division

2 60, 274
30, 137

∴ So the LCM of the given numbers is 2 x 30 x 137 = 8220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8220

Therefore, the GCF of Fractions 992/60,969/274 is 1/8220

Least Common Multiple of 60,274 with GCF Formula

Least Common Multiple of 60,274 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 60,274 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,274) = 2

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

GCF(60,274) x common factors =2 x 1 = 2

LCM(60,274) = ( 60 × 274 ) / 2

LCM(60,274) = 16440 / 2

LCM(60,274) = 8220


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FAQs on GCF of Fractions of 992/60, 969/274

1. What is the HCF of 992,969?

The HCF of 992,969 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 992/60, 969/274?

Answer: GCF of Numerators as per given numbers 992/60, 969/274 is

GCF of Numerators i.e. for 992,969 is 1

LCM of denominators i.e. for 60,274 is 8220.

Thus, GCF of Fractions is 1/8220.Finally, GCF of Fractions for 992/60, 969/274 is 1/8220.