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GCF of 910/181, 689/438

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 910/181, 689/438 i.e 13/79278 easily. The following is the detailed procedure to determine the greatest common factor of fractions 910/181, 689/438.

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 910/181,689/438?

Given fractions are 910/181,689/438

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 910/181,689/438, numerators are 910,689

Denominators are 181,438

The GCF of 910,689 is 13 .

LCM of 181,438 is 79278.

The greatest common factor of 910/181,689/438 = [GCF of 910,689]/[LCM of 181,438]= 13/79278

Therefore, the GCF of 910/181,689/438 is 13/79278.

Greatest Common Factor of 910,689

To find the highest common factor of 910,689, we have to find the factors of both numbers and list the highest common factor.

The factors of 910 are 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

The factors of 689 are 1, 13, 53, 689

The HCF of 910,689 is 13.

Lets's calculate GCF of 910,689

Greatest Common Factor (GCF) of 910,689 By Common Division

13 910, 689
70, 53

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

Greatest Common Factor of 910,689 By Matching Biggest Common Factor Method

Greatest Common Factor of 910,689 By Matching Biggest Common Factor Method

Now, list down the factors of 910

:

1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910

Now, list down the factors of 689

:

1,13,53,689

Greatest Common Factor

We found the factors 910,689 . The biggest common factor number is the GCF number.
So the greatest common factor 910,689 is 13.

Lets's calculate LCM of 181,438

Lowest Common Multiple of 181,438 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 79278

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/79278

Therefore, the GCF of Fractions 910/181,689/438 is 13/79278

Least Common Multiple of 181,438 with GCF Formula

Least Common Multiple of 181,438 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 181,438 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(181,438) = 1

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

GCF(181,438) x common factors =1 x 1 = 1

LCM(181,438) = ( 181 × 438 ) / 1

LCM(181,438) = 79278 / 1

LCM(181,438) = 79278


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FAQs on GCF of Fractions of 910/181, 689/438

1. What is the HCF of 910,689?

The HCF of 910,689 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 910/181, 689/438?

Answer: GCF of Numerators as per given numbers 910/181, 689/438 is

GCF of Numerators i.e. for 910,689 is 13

LCM of denominators i.e. for 181,438 is 79278.

Thus, GCF of Fractions is 13/79278.Finally, GCF of Fractions for 910/181, 689/438 is 13/79278.