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GCF of 277/228, 6302/746

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 277/228, 6302/746 i.e 1/85044 easily. The following is the detailed procedure to determine the greatest common factor of fractions 277/228, 6302/746.

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 277/228,6302/746?

Given fractions are 277/228,6302/746

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 277/228,6302/746, numerators are 277,6302

Denominators are 228,746

The GCF of 277,6302 is 1 .

LCM of 228,746 is 85044.

The greatest common factor of 277/228,6302/746 = [GCF of 277,6302]/[LCM of 228,746]= 1/85044

Therefore, the GCF of 277/228,6302/746 is 1/85044.

Greatest Common Factor of 277,6302

To find the highest common factor of 277,6302, we have to find the factors of both numbers and list the highest common factor.

The factors of 277 are 1, 277

The factors of 6302 are 1, 2, 23, 46, 137, 274, 3151, 6302

The HCF of 277,6302 is 1.

Lets's calculate GCF of 277,6302

Greatest Common Factor (GCF) of 277,6302 By Common Division

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

Greatest Common Factor of 277,6302 By Matching Biggest Common Factor Method

Greatest Common Factor of 277,6302 By Matching Biggest Common Factor Method

Now, list down the factors of 277

:

1,277

Now, list down the factors of 6302

:

1,2,23,46,137,274,3151,6302

Greatest Common Factor

We found the factors 277,6302 . The biggest common factor number is the GCF number.
So the greatest common factor 277,6302 is 1.

Lets's calculate LCM of 228,746

Lowest Common Multiple of 228,746 using Common Division

2 228, 746
114, 373

∴ So the LCM of the given numbers is 2 x 114 x 373 = 85044

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/85044

Therefore, the GCF of Fractions 277/228,6302/746 is 1/85044

Least Common Multiple of 228,746 with GCF Formula

Least Common Multiple of 228,746 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 228,746 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(228,746) = 2

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

GCF(228,746) x common factors =2 x 1 = 2

LCM(228,746) = ( 228 × 746 ) / 2

LCM(228,746) = 170088 / 2

LCM(228,746) = 85044


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FAQs on GCF of Fractions of 277/228, 6302/746

1. What is the HCF of 277,6302?

The HCF of 277,6302 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 277/228, 6302/746?

Answer: GCF of Numerators as per given numbers 277/228, 6302/746 is

GCF of Numerators i.e. for 277,6302 is 1

LCM of denominators i.e. for 228,746 is 85044.

Thus, GCF of Fractions is 1/85044.Finally, GCF of Fractions for 277/228, 6302/746 is 1/85044.