How to Find GCF of 687/353, 3470/696?

GCF of 687/353, 3470/696

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 687/353, 3470/696 i.e 1/245688 easily. The following is the detailed procedure to determine the greatest common factor of fractions 687/353, 3470/696.

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 687/353,3470/696?

Given fractions are 687/353,3470/696

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 687/353,3470/696, numerators are 687,3470

Denominators are 353,696

The GCF of 687,3470 is 1 .

LCM of 353,696 is 245688.

The greatest common factor of 687/353,3470/696 = [GCF of 687,3470]/[LCM of 353,696]= 1/245688

Therefore, the GCF of 687/353,3470/696 is 1/245688.

Greatest Common Factor of 687,3470

To find the highest common factor of 687,3470, we have to find the factors of both numbers and list the highest common factor.

The factors of 687 are 1, 3, 229, 687

The factors of 3470 are 1, 2, 5, 10, 347, 694, 1735, 3470

The HCF of 687,3470 is 1.

Lets's calculate GCF of 687,3470

Greatest Common Factor (GCF) of 687,3470 By Common Division

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

Greatest Common Factor of 687,3470 By Matching Biggest Common Factor Method

Now, list down the factors of 687

1,3,229,687

Now, list down the factors of 3470

1,2,5,10,347,694,1735,3470

Greatest Common Factor

We found the factors 687,3470 . The biggest common factor number is the GCF number.
So the greatest common factor 687,3470 is 1.

Lets's calculate LCM of 353,696

Lowest Common Multiple of 353,696 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 245688

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/245688

Therefore, the GCF of Fractions 687/353,3470/696 is 1/245688

Least Common Multiple of 353,696 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 353,696 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(353,696) = 1

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

GCF(353,696) x common factors =1 x 1 = 1

LCM(353,696) = ( 353 × 696 ) / 1

LCM(353,696) = 245688 / 1

LCM(353,696) = 245688

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FAQs on GCF of Fractions of 687/353, 3470/696

1. What is the HCF of 687,3470?

The HCF of 687,3470 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 687/353, 3470/696?

Answer: GCF of Numerators as per given numbers 687/353, 3470/696 is

GCF of Numerators i.e. for 687,3470 is 1

LCM of denominators i.e. for 353,696 is 245688.

Thus, GCF of Fractions is 1/245688.Finally, GCF of Fractions for 687/353, 3470/696 is 1/245688.