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GCF of 557/40, 149/969

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 557/40, 149/969 i.e 1/38760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 557/40, 149/969.

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 557/40,149/969?

Given fractions are 557/40,149/969

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 557/40,149/969, numerators are 557,149

Denominators are 40,969

The GCF of 557,149 is 1 .

LCM of 40,969 is 38760.

The greatest common factor of 557/40,149/969 = [GCF of 557,149]/[LCM of 40,969]= 1/38760

Therefore, the GCF of 557/40,149/969 is 1/38760.

Greatest Common Factor of 557,149

To find the highest common factor of 557,149, we have to find the factors of both numbers and list the highest common factor.

The factors of 557 are 1, 557

The factors of 149 are 1, 149

The HCF of 557,149 is 1.

Lets's calculate GCF of 557,149

Greatest Common Factor (GCF) of 557,149 By Common Division

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

Greatest Common Factor of 557,149 By Matching Biggest Common Factor Method

Greatest Common Factor of 557,149 By Matching Biggest Common Factor Method

Now, list down the factors of 557

:

1,557

Now, list down the factors of 149

:

1,149

Greatest Common Factor

We found the factors 557,149 . The biggest common factor number is the GCF number.
So the greatest common factor 557,149 is 1.

Lets's calculate LCM of 40,969

Lowest Common Multiple of 40,969 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 38760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38760

Therefore, the GCF of Fractions 557/40,149/969 is 1/38760

Least Common Multiple of 40,969 with GCF Formula

Least Common Multiple of 40,969 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 40,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,969) = 1

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

GCF(40,969) x common factors =1 x 1 = 1

LCM(40,969) = ( 40 × 969 ) / 1

LCM(40,969) = 38760 / 1

LCM(40,969) = 38760


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FAQs on GCF of Fractions of 557/40, 149/969

1. What is the HCF of 557,149?

The HCF of 557,149 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 557/40, 149/969?

Answer: GCF of Numerators as per given numbers 557/40, 149/969 is

GCF of Numerators i.e. for 557,149 is 1

LCM of denominators i.e. for 40,969 is 38760.

Thus, GCF of Fractions is 1/38760.Finally, GCF of Fractions for 557/40, 149/969 is 1/38760.