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GCF of 688/614, 492/853

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 688/614, 492/853 i.e 4/523742 easily. The following is the detailed procedure to determine the greatest common factor of fractions 688/614, 492/853.

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 688/614,492/853?

Given fractions are 688/614,492/853

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 688/614,492/853, numerators are 688,492

Denominators are 614,853

The GCF of 688,492 is 4 .

LCM of 614,853 is 523742.

The greatest common factor of 688/614,492/853 = [GCF of 688,492]/[LCM of 614,853]= 4/523742

Therefore, the GCF of 688/614,492/853 is 4/523742.

Greatest Common Factor of 688,492

To find the highest common factor of 688,492, we have to find the factors of both numbers and list the highest common factor.

The factors of 688 are 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

The factors of 492 are 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

The HCF of 688,492 is 4.

Lets's calculate GCF of 688,492

Greatest Common Factor (GCF) of 688,492 By Common Division

2 688, 492
2 344, 246
172, 123

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 688,492 By Matching Biggest Common Factor Method

Greatest Common Factor of 688,492 By Matching Biggest Common Factor Method

Now, list down the factors of 688

:

1,2,4,8,16,43,86,172,344,688

Now, list down the factors of 492

:

1,2,3,4,6,12,41,82,123,164,246,492

Greatest Common Factor

We found the factors 688,492 . The biggest common factor number is the GCF number.
So the greatest common factor 688,492 is 4.

Lets's calculate LCM of 614,853

Lowest Common Multiple of 614,853 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 523742

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/523742

Therefore, the GCF of Fractions 688/614,492/853 is 4/523742

Least Common Multiple of 614,853 with GCF Formula

Least Common Multiple of 614,853 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 614,853 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(614,853) = 1

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

GCF(614,853) x common factors =1 x 1 = 1

LCM(614,853) = ( 614 × 853 ) / 1

LCM(614,853) = 523742 / 1

LCM(614,853) = 523742


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FAQs on GCF of Fractions of 688/614, 492/853

1. What is the HCF of 688,492?

The HCF of 688,492 is 4

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 688/614, 492/853?

Answer: GCF of Numerators as per given numbers 688/614, 492/853 is

GCF of Numerators i.e. for 688,492 is 4

LCM of denominators i.e. for 614,853 is 523742.

Thus, GCF of Fractions is 4/523742.Finally, GCF of Fractions for 688/614, 492/853 is 4/523742.