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GCF of 7862/734, 2071/446

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 7862/734, 2071/446 i.e 1/163682 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7862/734, 2071/446.

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 7862/734,2071/446?

Given fractions are 7862/734,2071/446

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 7862/734,2071/446, numerators are 7862,2071

Denominators are 734,446

The GCF of 7862,2071 is 1 .

LCM of 734,446 is 163682.

The greatest common factor of 7862/734,2071/446 = [GCF of 7862,2071]/[LCM of 734,446]= 1/163682

Therefore, the GCF of 7862/734,2071/446 is 1/163682.

Greatest Common Factor of 7862,2071

To find the highest common factor of 7862,2071, we have to find the factors of both numbers and list the highest common factor.

The factors of 7862 are 1, 2, 3931, 7862

The factors of 2071 are 1, 19, 109, 2071

The HCF of 7862,2071 is 1.

Lets's calculate GCF of 7862,2071

Greatest Common Factor (GCF) of 7862,2071 By Common Division

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

Greatest Common Factor of 7862,2071 By Matching Biggest Common Factor Method

Greatest Common Factor of 7862,2071 By Matching Biggest Common Factor Method

Now, list down the factors of 7862

:

1,2,3931,7862

Now, list down the factors of 2071

:

1,19,109,2071

Greatest Common Factor

We found the factors 7862,2071 . The biggest common factor number is the GCF number.
So the greatest common factor 7862,2071 is 1.

Lets's calculate LCM of 734,446

Lowest Common Multiple of 734,446 using Common Division

2 734, 446
367, 223

∴ So the LCM of the given numbers is 2 x 367 x 223 = 163682

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/163682

Therefore, the GCF of Fractions 7862/734,2071/446 is 1/163682

Least Common Multiple of 734,446 with GCF Formula

Least Common Multiple of 734,446 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 734,446 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(734,446) = 2

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

GCF(734,446) x common factors =2 x 1 = 2

LCM(734,446) = ( 734 × 446 ) / 2

LCM(734,446) = 327364 / 2

LCM(734,446) = 163682


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FAQs on GCF of Fractions of 7862/734, 2071/446

1. What is the HCF of 7862,2071?

The HCF of 7862,2071 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 7862/734, 2071/446?

Answer: GCF of Numerators as per given numbers 7862/734, 2071/446 is

GCF of Numerators i.e. for 7862,2071 is 1

LCM of denominators i.e. for 734,446 is 163682.

Thus, GCF of Fractions is 1/163682.Finally, GCF of Fractions for 7862/734, 2071/446 is 1/163682.