How to Find GCF of 3572/268, 8770/654?

GCF of 3572/268, 8770/654

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 3572/268, 8770/654 i.e 2/87636 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3572/268, 8770/654.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 3572/268,8770/654?

Given fractions are 3572/268,8770/654

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 3572/268,8770/654, numerators are 3572,8770

Denominators are 268,654

The GCF of 3572,8770 is 2 .

LCM of 268,654 is 87636.

The greatest common factor of 3572/268,8770/654 = [GCF of 3572,8770]/[LCM of 268,654]= 2/87636

Therefore, the GCF of 3572/268,8770/654 is 2/87636.

Greatest Common Factor of 3572,8770

To find the highest common factor of 3572,8770, we have to find the factors of both numbers and list the highest common factor.

The factors of 3572 are 1, 2, 4, 19, 38, 47, 76, 94, 188, 893, 1786, 3572

The factors of 8770 are 1, 2, 5, 10, 877, 1754, 4385, 8770

The HCF of 3572,8770 is 2.

Lets's calculate GCF of 3572,8770

Greatest Common Factor (GCF) of 3572,8770 By Common Division

2	3572, 8770
	1786, 4385

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 3572,8770 By Matching Biggest Common Factor Method

Now, list down the factors of 3572

1,2,4,19,38,47,76,94,188,893,1786,3572

Now, list down the factors of 8770

1,2,5,10,877,1754,4385,8770

Greatest Common Factor

We found the factors 3572,8770 . The biggest common factor number is the GCF number.
So the greatest common factor 3572,8770 is 2.

Lets's calculate LCM of 268,654

Lowest Common Multiple of 268,654 using Common Division

2	268, 654
	134, 327

∴ So the LCM of the given numbers is 2 x 134 x 327 = 87636

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/87636

Therefore, the GCF of Fractions 3572/268,8770/654 is 2/87636

Least Common Multiple of 268,654 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 268,654 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(268,654) = 2

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

GCF(268,654) x common factors =2 x 1 = 2

LCM(268,654) = ( 268 × 654 ) / 2

LCM(268,654) = 175272 / 2

LCM(268,654) = 87636

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FAQs on GCF of Fractions of 3572/268, 8770/654

1. What is the HCF of 3572,8770?

The HCF of 3572,8770 is 2

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 3572/268, 8770/654?

Answer: GCF of Numerators as per given numbers 3572/268, 8770/654 is

GCF of Numerators i.e. for 3572,8770 is 2

LCM of denominators i.e. for 268,654 is 87636.

Thus, GCF of Fractions is 2/87636.Finally, GCF of Fractions for 3572/268, 8770/654 is 2/87636.