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GCF of 9691/149, 5927/4261

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 9691/149, 5927/4261 i.e 1/634889 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9691/149, 5927/4261.

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 9691/149,5927/4261?

Given fractions are 9691/149,5927/4261

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 9691/149,5927/4261, numerators are 9691,5927

Denominators are 149,4261

The GCF of 9691,5927 is 1 .

LCM of 149,4261 is 634889.

The greatest common factor of 9691/149,5927/4261 = [GCF of 9691,5927]/[LCM of 149,4261]= 1/634889

Therefore, the GCF of 9691/149,5927/4261 is 1/634889.

Greatest Common Factor of 9691,5927

To find the highest common factor of 9691,5927, we have to find the factors of both numbers and list the highest common factor.

The factors of 9691 are 1, 11, 881, 9691

The factors of 5927 are 1, 5927

The HCF of 9691,5927 is 1.

Lets's calculate GCF of 9691,5927

Greatest Common Factor (GCF) of 9691,5927 By Common Division

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

Greatest Common Factor of 9691,5927 By Matching Biggest Common Factor Method

Greatest Common Factor of 9691,5927 By Matching Biggest Common Factor Method

Now, list down the factors of 9691

:

1,11,881,9691

Now, list down the factors of 5927

:

1,5927

Greatest Common Factor

We found the factors 9691,5927 . The biggest common factor number is the GCF number.
So the greatest common factor 9691,5927 is 1.


Lets's calculate LCM of 149,4261

Lowest Common Multiple of 149,4261 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 634889

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/634889

Therefore, the GCF of Fractions 9691/149,5927/4261 is 1/634889

Least Common Multiple of 149,4261 with GCF Formula

Least Common Multiple of 149,4261 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 149,4261 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(149,4261) = 1

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

GCF(149,4261) x common factors =1 x 1 = 1

LCM(149,4261) = ( 149 × 4261 ) / 1

LCM(149,4261) = 634889 / 1

LCM(149,4261) = 634889


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 9691/149, 5927/4261

1. What is the HCF of 9691,5927?

The HCF of 9691,5927 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 9691/149, 5927/4261?

Answer: GCF of Numerators as per given numbers 9691/149, 5927/4261 is

GCF of Numerators i.e. for 9691,5927 is 1

LCM of denominators i.e. for 149,4261 is 634889.

Thus, GCF of Fractions is 1/634889.Finally, GCF of Fractions for 9691/149, 5927/4261 is 1/634889.