How to Find GCF of 9370/916, 3710/7058?

GCF of 9370/916, 3710/7058

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 9370/916, 3710/7058 i.e 10/3232564 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9370/916, 3710/7058.

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 9370/916,3710/7058?

Given fractions are 9370/916,3710/7058

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 9370/916,3710/7058, numerators are 9370,3710

Denominators are 916,7058

The GCF of 9370,3710 is 10 .

LCM of 916,7058 is 3232564.

The greatest common factor of 9370/916,3710/7058 = [GCF of 9370,3710]/[LCM of 916,7058]= 10/3232564

Therefore, the GCF of 9370/916,3710/7058 is 10/3232564.

Greatest Common Factor of 9370,3710

To find the highest common factor of 9370,3710, we have to find the factors of both numbers and list the highest common factor.

The factors of 9370 are 1, 2, 5, 10, 937, 1874, 4685, 9370

The factors of 3710 are 1, 2, 5, 7, 10, 14, 35, 53, 70, 106, 265, 371, 530, 742, 1855, 3710

The HCF of 9370,3710 is 10.

Lets's calculate GCF of 9370,3710

Greatest Common Factor (GCF) of 9370,3710 By Common Division

2	9370, 3710
5	4685, 1855
	937, 371

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 9370,3710 By Matching Biggest Common Factor Method

Now, list down the factors of 9370

1,2,5,10,937,1874,4685,9370

Now, list down the factors of 3710

1,2,5,7,10,14,35,53,70,106,265,371,530,742,1855,3710

Greatest Common Factor

We found the factors 9370,3710 . The biggest common factor number is the GCF number.
So the greatest common factor 9370,3710 is 10.

Lets's calculate LCM of 916,7058

Lowest Common Multiple of 916,7058 using Common Division

2	916, 7058
	458, 3529

∴ So the LCM of the given numbers is 2 x 458 x 3529 = 3232564

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/3232564

Therefore, the GCF of Fractions 9370/916,3710/7058 is 10/3232564

Least Common Multiple of 916,7058 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 916,7058 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(916,7058) = 2

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

GCF(916,7058) x common factors =2 x 1 = 2

LCM(916,7058) = ( 916 × 7058 ) / 2

LCM(916,7058) = 6465128 / 2

LCM(916,7058) = 3232564

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9370/916, 3710/7058

1. What is the HCF of 9370,3710?

The HCF of 9370,3710 is 10

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 9370/916, 3710/7058?

Answer: GCF of Numerators as per given numbers 9370/916, 3710/7058 is

GCF of Numerators i.e. for 9370,3710 is 10

LCM of denominators i.e. for 916,7058 is 3232564.

Thus, GCF of Fractions is 10/3232564.Finally, GCF of Fractions for 9370/916, 3710/7058 is 10/3232564.