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GCF of 688/894, 632/686

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 688/894, 632/686 i.e 8/306642 easily. The following is the detailed procedure to determine the greatest common factor of fractions 688/894, 632/686.

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 688/894,632/686?

Given fractions are 688/894,632/686

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 688/894,632/686, numerators are 688,632

Denominators are 894,686

The GCF of 688,632 is 8 .

LCM of 894,686 is 306642.

The greatest common factor of 688/894,632/686 = [GCF of 688,632]/[LCM of 894,686]= 8/306642

Therefore, the GCF of 688/894,632/686 is 8/306642.

Greatest Common Factor of 688,632

To find the highest common factor of 688,632, 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 632 are 1, 2, 4, 8, 79, 158, 316, 632

The HCF of 688,632 is 8.

Lets's calculate GCF of 688,632

Greatest Common Factor (GCF) of 688,632 By Common Division

2 688, 632
2 344, 316
2 172, 158
86, 79

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 688,632 By Matching Biggest Common Factor Method

Greatest Common Factor of 688,632 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 632

:

1,2,4,8,79,158,316,632

Greatest Common Factor

We found the factors 688,632 . The biggest common factor number is the GCF number.
So the greatest common factor 688,632 is 8.

Lets's calculate LCM of 894,686

Lowest Common Multiple of 894,686 using Common Division

2 894, 686
447, 343

∴ So the LCM of the given numbers is 2 x 447 x 343 = 306642

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/306642

Therefore, the GCF of Fractions 688/894,632/686 is 8/306642

Least Common Multiple of 894,686 with GCF Formula

Least Common Multiple of 894,686 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 894,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(894,686) = 2

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

GCF(894,686) x common factors =2 x 1 = 2

LCM(894,686) = ( 894 × 686 ) / 2

LCM(894,686) = 613284 / 2

LCM(894,686) = 306642


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FAQs on GCF of Fractions of 688/894, 632/686

1. What is the HCF of 688,632?

The HCF of 688,632 is 8

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 688/894, 632/686?

Answer: GCF of Numerators as per given numbers 688/894, 632/686 is

GCF of Numerators i.e. for 688,632 is 8

LCM of denominators i.e. for 894,686 is 306642.

Thus, GCF of Fractions is 8/306642.Finally, GCF of Fractions for 688/894, 632/686 is 8/306642.