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GCF of 374/234, 2473/258

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 374/234, 2473/258 i.e 1/10062 easily. The following is the detailed procedure to determine the greatest common factor of fractions 374/234, 2473/258.

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 374/234,2473/258?

Given fractions are 374/234,2473/258

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 374/234,2473/258, numerators are 374,2473

Denominators are 234,258

The GCF of 374,2473 is 1 .

LCM of 234,258 is 10062.

The greatest common factor of 374/234,2473/258 = [GCF of 374,2473]/[LCM of 234,258]= 1/10062

Therefore, the GCF of 374/234,2473/258 is 1/10062.

Greatest Common Factor of 374,2473

To find the highest common factor of 374,2473, we have to find the factors of both numbers and list the highest common factor.

The factors of 374 are 1, 2, 11, 17, 22, 34, 187, 374

The factors of 2473 are 1, 2473

The HCF of 374,2473 is 1.

Lets's calculate GCF of 374,2473

Greatest Common Factor (GCF) of 374,2473 By Common Division

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

Greatest Common Factor of 374,2473 By Matching Biggest Common Factor Method

Greatest Common Factor of 374,2473 By Matching Biggest Common Factor Method

Now, list down the factors of 374

:

1,2,11,17,22,34,187,374

Now, list down the factors of 2473

:

1,2473

Greatest Common Factor

We found the factors 374,2473 . The biggest common factor number is the GCF number.
So the greatest common factor 374,2473 is 1.

Lets's calculate LCM of 234,258

Lowest Common Multiple of 234,258 using Common Division

2 234, 258
3 117, 129
39, 43

∴ So the LCM of the given numbers is 2 x 3 x 39 x 43 = 10062

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10062

Therefore, the GCF of Fractions 374/234,2473/258 is 1/10062

Least Common Multiple of 234,258 with GCF Formula

Least Common Multiple of 234,258 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 234,258 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(234,258) = 6

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

GCF(234,258) x common factors =6 x 1 = 6

LCM(234,258) = ( 234 × 258 ) / 6

LCM(234,258) = 60372 / 6

LCM(234,258) = 10062


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FAQs on GCF of Fractions of 374/234, 2473/258

1. What is the HCF of 374,2473?

The HCF of 374,2473 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 374/234, 2473/258?

Answer: GCF of Numerators as per given numbers 374/234, 2473/258 is

GCF of Numerators i.e. for 374,2473 is 1

LCM of denominators i.e. for 234,258 is 10062.

Thus, GCF of Fractions is 1/10062.Finally, GCF of Fractions for 374/234, 2473/258 is 1/10062.