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GCF of 2428/474, 1487/974

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 2428/474, 1487/974 i.e 1/230838 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2428/474, 1487/974.

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 2428/474,1487/974?

Given fractions are 2428/474,1487/974

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 2428/474,1487/974, numerators are 2428,1487

Denominators are 474,974

The GCF of 2428,1487 is 1 .

LCM of 474,974 is 230838.

The greatest common factor of 2428/474,1487/974 = [GCF of 2428,1487]/[LCM of 474,974]= 1/230838

Therefore, the GCF of 2428/474,1487/974 is 1/230838.

Greatest Common Factor of 2428,1487

To find the highest common factor of 2428,1487, we have to find the factors of both numbers and list the highest common factor.

The factors of 2428 are 1, 2, 4, 607, 1214, 2428

The factors of 1487 are 1, 1487

The HCF of 2428,1487 is 1.

Lets's calculate GCF of 2428,1487

Greatest Common Factor (GCF) of 2428,1487 By Common Division

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

Greatest Common Factor of 2428,1487 By Matching Biggest Common Factor Method

Greatest Common Factor of 2428,1487 By Matching Biggest Common Factor Method

Now, list down the factors of 2428

:

1,2,4,607,1214,2428

Now, list down the factors of 1487

:

1,1487

Greatest Common Factor

We found the factors 2428,1487 . The biggest common factor number is the GCF number.
So the greatest common factor 2428,1487 is 1.

Lets's calculate LCM of 474,974

Lowest Common Multiple of 474,974 using Common Division

2 474, 974
237, 487

∴ So the LCM of the given numbers is 2 x 237 x 487 = 230838

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/230838

Therefore, the GCF of Fractions 2428/474,1487/974 is 1/230838

Least Common Multiple of 474,974 with GCF Formula

Least Common Multiple of 474,974 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 474,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(474,974) = 2

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

GCF(474,974) x common factors =2 x 1 = 2

LCM(474,974) = ( 474 × 974 ) / 2

LCM(474,974) = 461676 / 2

LCM(474,974) = 230838


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FAQs on GCF of Fractions of 2428/474, 1487/974

1. What is the HCF of 2428,1487?

The HCF of 2428,1487 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 2428/474, 1487/974?

Answer: GCF of Numerators as per given numbers 2428/474, 1487/974 is

GCF of Numerators i.e. for 2428,1487 is 1

LCM of denominators i.e. for 474,974 is 230838.

Thus, GCF of Fractions is 1/230838.Finally, GCF of Fractions for 2428/474, 1487/974 is 1/230838.