How to Find GCF of 9738/100, 3695/7058?

GCF of 9738/100, 3695/7058

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 9738/100, 3695/7058 i.e 1/352900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9738/100, 3695/7058.

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 9738/100,3695/7058?

Given fractions are 9738/100,3695/7058

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 9738/100,3695/7058, numerators are 9738,3695

Denominators are 100,7058

The GCF of 9738,3695 is 1 .

LCM of 100,7058 is 352900.

The greatest common factor of 9738/100,3695/7058 = [GCF of 9738,3695]/[LCM of 100,7058]= 1/352900

Therefore, the GCF of 9738/100,3695/7058 is 1/352900.

Greatest Common Factor of 9738,3695

To find the highest common factor of 9738,3695, we have to find the factors of both numbers and list the highest common factor.

The factors of 9738 are 1, 2, 3, 6, 9, 18, 541, 1082, 1623, 3246, 4869, 9738

The factors of 3695 are 1, 5, 739, 3695

The HCF of 9738,3695 is 1.

Lets's calculate GCF of 9738,3695

Greatest Common Factor (GCF) of 9738,3695 By Common Division

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

Greatest Common Factor of 9738,3695 By Matching Biggest Common Factor Method

Now, list down the factors of 9738

1,2,3,6,9,18,541,1082,1623,3246,4869,9738

Now, list down the factors of 3695

1,5,739,3695

Greatest Common Factor

We found the factors 9738,3695 . The biggest common factor number is the GCF number.
So the greatest common factor 9738,3695 is 1.

Lets's calculate LCM of 100,7058

Lowest Common Multiple of 100,7058 using Common Division

2	100, 7058
	50, 3529

∴ So the LCM of the given numbers is 2 x 50 x 3529 = 352900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/352900

Therefore, the GCF of Fractions 9738/100,3695/7058 is 1/352900

Least Common Multiple of 100,7058 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 100,7058 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(100,7058) = 2

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

GCF(100,7058) x common factors =2 x 1 = 2

LCM(100,7058) = ( 100 × 7058 ) / 2

LCM(100,7058) = 705800 / 2

LCM(100,7058) = 352900

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FAQs on GCF of Fractions of 9738/100, 3695/7058

1. What is the HCF of 9738,3695?

The HCF of 9738,3695 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 9738/100, 3695/7058?

Answer: GCF of Numerators as per given numbers 9738/100, 3695/7058 is

GCF of Numerators i.e. for 9738,3695 is 1

LCM of denominators i.e. for 100,7058 is 352900.

Thus, GCF of Fractions is 1/352900.Finally, GCF of Fractions for 9738/100, 3695/7058 is 1/352900.