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GCF of 651/66, 502/228

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 651/66, 502/228 i.e 1/2508 easily. The following is the detailed procedure to determine the greatest common factor of fractions 651/66, 502/228.

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 651/66,502/228?

Given fractions are 651/66,502/228

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 651/66,502/228, numerators are 651,502

Denominators are 66,228

The GCF of 651,502 is 1 .

LCM of 66,228 is 2508.

The greatest common factor of 651/66,502/228 = [GCF of 651,502]/[LCM of 66,228]= 1/2508

Therefore, the GCF of 651/66,502/228 is 1/2508.

Greatest Common Factor of 651,502

To find the highest common factor of 651,502, we have to find the factors of both numbers and list the highest common factor.

The factors of 651 are 1, 3, 7, 21, 31, 93, 217, 651

The factors of 502 are 1, 2, 251, 502

The HCF of 651,502 is 1.

Lets's calculate GCF of 651,502

Greatest Common Factor (GCF) of 651,502 By Common Division

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

Greatest Common Factor of 651,502 By Matching Biggest Common Factor Method

Greatest Common Factor of 651,502 By Matching Biggest Common Factor Method

Now, list down the factors of 651

:

1,3,7,21,31,93,217,651

Now, list down the factors of 502

:

1,2,251,502

Greatest Common Factor

We found the factors 651,502 . The biggest common factor number is the GCF number.
So the greatest common factor 651,502 is 1.

Lets's calculate LCM of 66,228

Lowest Common Multiple of 66,228 using Common Division

2 66, 228
3 33, 114
11, 38

∴ So the LCM of the given numbers is 2 x 3 x 11 x 38 = 2508

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2508

Therefore, the GCF of Fractions 651/66,502/228 is 1/2508

Least Common Multiple of 66,228 with GCF Formula

Least Common Multiple of 66,228 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 66,228 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,228) = 6

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

GCF(66,228) x common factors =6 x 1 = 6

LCM(66,228) = ( 66 × 228 ) / 6

LCM(66,228) = 15048 / 6

LCM(66,228) = 2508


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FAQs on GCF of Fractions of 651/66, 502/228

1. What is the HCF of 651,502?

The HCF of 651,502 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 651/66, 502/228?

Answer: GCF of Numerators as per given numbers 651/66, 502/228 is

GCF of Numerators i.e. for 651,502 is 1

LCM of denominators i.e. for 66,228 is 2508.

Thus, GCF of Fractions is 1/2508.Finally, GCF of Fractions for 651/66, 502/228 is 1/2508.