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GCF of 1258/475, 1129/712

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 1258/475, 1129/712 i.e 1/338200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1258/475, 1129/712.

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 1258/475,1129/712?

Given fractions are 1258/475,1129/712

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 1258/475,1129/712, numerators are 1258,1129

Denominators are 475,712

The GCF of 1258,1129 is 1 .

LCM of 475,712 is 338200.

The greatest common factor of 1258/475,1129/712 = [GCF of 1258,1129]/[LCM of 475,712]= 1/338200

Therefore, the GCF of 1258/475,1129/712 is 1/338200.

Greatest Common Factor of 1258,1129

To find the highest common factor of 1258,1129, we have to find the factors of both numbers and list the highest common factor.

The factors of 1258 are 1, 2, 17, 34, 37, 74, 629, 1258

The factors of 1129 are 1, 1129

The HCF of 1258,1129 is 1.

Lets's calculate GCF of 1258,1129

Greatest Common Factor (GCF) of 1258,1129 By Common Division

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

Greatest Common Factor of 1258,1129 By Matching Biggest Common Factor Method

Greatest Common Factor of 1258,1129 By Matching Biggest Common Factor Method

Now, list down the factors of 1258

:

1,2,17,34,37,74,629,1258

Now, list down the factors of 1129

:

1,1129

Greatest Common Factor

We found the factors 1258,1129 . The biggest common factor number is the GCF number.
So the greatest common factor 1258,1129 is 1.

Lets's calculate LCM of 475,712

Lowest Common Multiple of 475,712 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 338200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/338200

Therefore, the GCF of Fractions 1258/475,1129/712 is 1/338200

Least Common Multiple of 475,712 with GCF Formula

Least Common Multiple of 475,712 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 475,712 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(475,712) = 1

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

GCF(475,712) x common factors =1 x 1 = 1

LCM(475,712) = ( 475 × 712 ) / 1

LCM(475,712) = 338200 / 1

LCM(475,712) = 338200


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FAQs on GCF of Fractions of 1258/475, 1129/712

1. What is the HCF of 1258,1129?

The HCF of 1258,1129 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 1258/475, 1129/712?

Answer: GCF of Numerators as per given numbers 1258/475, 1129/712 is

GCF of Numerators i.e. for 1258,1129 is 1

LCM of denominators i.e. for 475,712 is 338200.

Thus, GCF of Fractions is 1/338200.Finally, GCF of Fractions for 1258/475, 1129/712 is 1/338200.