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GCF of 2407/340, 2557/3312

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 2407/340, 2557/3312 i.e 1/281520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2407/340, 2557/3312.

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 2407/340,2557/3312?

Given fractions are 2407/340,2557/3312

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 2407/340,2557/3312, numerators are 2407,2557

Denominators are 340,3312

The GCF of 2407,2557 is 1 .

LCM of 340,3312 is 281520.

The greatest common factor of 2407/340,2557/3312 = [GCF of 2407,2557]/[LCM of 340,3312]= 1/281520

Therefore, the GCF of 2407/340,2557/3312 is 1/281520.

Greatest Common Factor of 2407,2557

To find the highest common factor of 2407,2557, we have to find the factors of both numbers and list the highest common factor.

The factors of 2407 are 1, 29, 83, 2407

The factors of 2557 are 1, 2557

The HCF of 2407,2557 is 1.

Lets's calculate GCF of 2407,2557

Greatest Common Factor (GCF) of 2407,2557 By Common Division

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

Greatest Common Factor of 2407,2557 By Matching Biggest Common Factor Method

Greatest Common Factor of 2407,2557 By Matching Biggest Common Factor Method

Now, list down the factors of 2407

:

1,29,83,2407

Now, list down the factors of 2557

:

1,2557

Greatest Common Factor

We found the factors 2407,2557 . The biggest common factor number is the GCF number.
So the greatest common factor 2407,2557 is 1.

Lets's calculate LCM of 340,3312

Lowest Common Multiple of 340,3312 using Common Division

2 340, 3312
2 170, 1656
85, 828

∴ So the LCM of the given numbers is 2 x 2 x 85 x 828 = 281520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/281520

Therefore, the GCF of Fractions 2407/340,2557/3312 is 1/281520

Least Common Multiple of 340,3312 with GCF Formula

Least Common Multiple of 340,3312 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 340,3312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(340,3312) = 4

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

GCF(340,3312) x common factors =4 x 1 = 4

LCM(340,3312) = ( 340 × 3312 ) / 4

LCM(340,3312) = 1126080 / 4

LCM(340,3312) = 281520


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FAQs on GCF of Fractions of 2407/340, 2557/3312

1. What is the HCF of 2407,2557?

The HCF of 2407,2557 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 2407/340, 2557/3312?

Answer: GCF of Numerators as per given numbers 2407/340, 2557/3312 is

GCF of Numerators i.e. for 2407,2557 is 1

LCM of denominators i.e. for 340,3312 is 281520.

Thus, GCF of Fractions is 1/281520.Finally, GCF of Fractions for 2407/340, 2557/3312 is 1/281520.