How to Find GCF of 988/921, 169/131?

GCF of 988/921, 169/131

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 988/921, 169/131 i.e 13/120651 easily. The following is the detailed procedure to determine the greatest common factor of fractions 988/921, 169/131.

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 988/921,169/131?

Given fractions are 988/921,169/131

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 988/921,169/131, numerators are 988,169

Denominators are 921,131

The GCF of 988,169 is 13 .

LCM of 921,131 is 120651.

The greatest common factor of 988/921,169/131 = [GCF of 988,169]/[LCM of 921,131]= 13/120651

Therefore, the GCF of 988/921,169/131 is 13/120651.

Greatest Common Factor of 988,169

To find the highest common factor of 988,169, we have to find the factors of both numbers and list the highest common factor.

The factors of 988 are 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

The factors of 169 are 1, 13, 169

The HCF of 988,169 is 13.

Lets's calculate GCF of 988,169

Greatest Common Factor (GCF) of 988,169 By Common Division

13	988, 169
	76, 13

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 988,169 By Matching Biggest Common Factor Method

Now, list down the factors of 988

1,2,4,13,19,26,38,52,76,247,494,988

Now, list down the factors of 169

1,13,169

Greatest Common Factor

We found the factors 988,169 . The biggest common factor number is the GCF number.
So the greatest common factor 988,169 is 13.

Lets's calculate LCM of 921,131

Lowest Common Multiple of 921,131 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 120651

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/120651

Therefore, the GCF of Fractions 988/921,169/131 is 13/120651

Least Common Multiple of 921,131 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 921,131 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(921,131) = 1

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

GCF(921,131) x common factors =1 x 1 = 1

LCM(921,131) = ( 921 × 131 ) / 1

LCM(921,131) = 120651 / 1

LCM(921,131) = 120651

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FAQs on GCF of Fractions of 988/921, 169/131

1. What is the HCF of 988,169?

The HCF of 988,169 is 13

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 988/921, 169/131?

Answer: GCF of Numerators as per given numbers 988/921, 169/131 is

GCF of Numerators i.e. for 988,169 is 13

LCM of denominators i.e. for 921,131 is 120651.

Thus, GCF of Fractions is 13/120651.Finally, GCF of Fractions for 988/921, 169/131 is 13/120651.