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GCF of 718/763, 940/208

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 718/763, 940/208 i.e 2/158704 easily. The following is the detailed procedure to determine the greatest common factor of fractions 718/763, 940/208.

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 718/763,940/208?

Given fractions are 718/763,940/208

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 718/763,940/208, numerators are 718,940

Denominators are 763,208

The GCF of 718,940 is 2 .

LCM of 763,208 is 158704.

The greatest common factor of 718/763,940/208 = [GCF of 718,940]/[LCM of 763,208]= 2/158704

Therefore, the GCF of 718/763,940/208 is 2/158704.

Greatest Common Factor of 718,940

To find the highest common factor of 718,940, we have to find the factors of both numbers and list the highest common factor.

The factors of 718 are 1, 2, 359, 718

The factors of 940 are 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

The HCF of 718,940 is 2.

Lets's calculate GCF of 718,940

Greatest Common Factor (GCF) of 718,940 By Common Division

2 718, 940
359, 470

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

Greatest Common Factor of 718,940 By Matching Biggest Common Factor Method

Greatest Common Factor of 718,940 By Matching Biggest Common Factor Method

Now, list down the factors of 718

:

1,2,359,718

Now, list down the factors of 940

:

1,2,4,5,10,20,47,94,188,235,470,940

Greatest Common Factor

We found the factors 718,940 . The biggest common factor number is the GCF number.
So the greatest common factor 718,940 is 2.

Lets's calculate LCM of 763,208

Lowest Common Multiple of 763,208 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 158704

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/158704

Therefore, the GCF of Fractions 718/763,940/208 is 2/158704

Least Common Multiple of 763,208 with GCF Formula

Least Common Multiple of 763,208 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 763,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(763,208) = 1

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

GCF(763,208) x common factors =1 x 1 = 1

LCM(763,208) = ( 763 × 208 ) / 1

LCM(763,208) = 158704 / 1

LCM(763,208) = 158704


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FAQs on GCF of Fractions of 718/763, 940/208

1. What is the HCF of 718,940?

The HCF of 718,940 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 718/763, 940/208?

Answer: GCF of Numerators as per given numbers 718/763, 940/208 is

GCF of Numerators i.e. for 718,940 is 2

LCM of denominators i.e. for 763,208 is 158704.

Thus, GCF of Fractions is 2/158704.Finally, GCF of Fractions for 718/763, 940/208 is 2/158704.