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GCF of 7427/380, 8837/706

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 7427/380, 8837/706 i.e 1/134140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7427/380, 8837/706.

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 7427/380,8837/706?

Given fractions are 7427/380,8837/706

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 7427/380,8837/706, numerators are 7427,8837

Denominators are 380,706

The GCF of 7427,8837 is 1 .

LCM of 380,706 is 134140.

The greatest common factor of 7427/380,8837/706 = [GCF of 7427,8837]/[LCM of 380,706]= 1/134140

Therefore, the GCF of 7427/380,8837/706 is 1/134140.

Greatest Common Factor of 7427,8837

To find the highest common factor of 7427,8837, we have to find the factors of both numbers and list the highest common factor.

The factors of 7427 are 1, 7, 1061, 7427

The factors of 8837 are 1, 8837

The HCF of 7427,8837 is 1.

Lets's calculate GCF of 7427,8837

Greatest Common Factor (GCF) of 7427,8837 By Common Division

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

Greatest Common Factor of 7427,8837 By Matching Biggest Common Factor Method

Greatest Common Factor of 7427,8837 By Matching Biggest Common Factor Method

Now, list down the factors of 7427

:

1,7,1061,7427

Now, list down the factors of 8837

:

1,8837

Greatest Common Factor

We found the factors 7427,8837 . The biggest common factor number is the GCF number.
So the greatest common factor 7427,8837 is 1.

Lets's calculate LCM of 380,706

Lowest Common Multiple of 380,706 using Common Division

2 380, 706
190, 353

∴ So the LCM of the given numbers is 2 x 190 x 353 = 134140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/134140

Therefore, the GCF of Fractions 7427/380,8837/706 is 1/134140

Least Common Multiple of 380,706 with GCF Formula

Least Common Multiple of 380,706 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 380,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(380,706) = 2

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

GCF(380,706) x common factors =2 x 1 = 2

LCM(380,706) = ( 380 × 706 ) / 2

LCM(380,706) = 268280 / 2

LCM(380,706) = 134140


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FAQs on GCF of Fractions of 7427/380, 8837/706

1. What is the HCF of 7427,8837?

The HCF of 7427,8837 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 7427/380, 8837/706?

Answer: GCF of Numerators as per given numbers 7427/380, 8837/706 is

GCF of Numerators i.e. for 7427,8837 is 1

LCM of denominators i.e. for 380,706 is 134140.

Thus, GCF of Fractions is 1/134140.Finally, GCF of Fractions for 7427/380, 8837/706 is 1/134140.