How to Find GCF of 9730/525, 1963/3775?

GCF of 9730/525, 1963/3775

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 9730/525, 1963/3775 i.e 1/79275 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9730/525, 1963/3775.

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 9730/525,1963/3775?

Given fractions are 9730/525,1963/3775

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 9730/525,1963/3775, numerators are 9730,1963

Denominators are 525,3775

The GCF of 9730,1963 is 1 .

LCM of 525,3775 is 79275.

The greatest common factor of 9730/525,1963/3775 = [GCF of 9730,1963]/[LCM of 525,3775]= 1/79275

Therefore, the GCF of 9730/525,1963/3775 is 1/79275.

Greatest Common Factor of 9730,1963

To find the highest common factor of 9730,1963, we have to find the factors of both numbers and list the highest common factor.

The factors of 9730 are 1, 2, 5, 7, 10, 14, 35, 70, 139, 278, 695, 973, 1390, 1946, 4865, 9730

The factors of 1963 are 1, 13, 151, 1963

The HCF of 9730,1963 is 1.

Lets's calculate GCF of 9730,1963

Greatest Common Factor (GCF) of 9730,1963 By Common Division

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

Greatest Common Factor of 9730,1963 By Matching Biggest Common Factor Method

Now, list down the factors of 9730

1,2,5,7,10,14,35,70,139,278,695,973,1390,1946,4865,9730

Now, list down the factors of 1963

1,13,151,1963

Greatest Common Factor

We found the factors 9730,1963 . The biggest common factor number is the GCF number.
So the greatest common factor 9730,1963 is 1.

Lets's calculate LCM of 525,3775

Lowest Common Multiple of 525,3775 using Common Division

5	525, 3775
5	105, 755
	21, 151

∴ So the LCM of the given numbers is 5 x 5 x 21 x 151 = 79275

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/79275

Therefore, the GCF of Fractions 9730/525,1963/3775 is 1/79275

Least Common Multiple of 525,3775 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 525,3775 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(525,3775) = 25

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

GCF(525,3775) x common factors =25 x 1 = 25

LCM(525,3775) = ( 525 × 3775 ) / 25

LCM(525,3775) = 1981875 / 25

LCM(525,3775) = 79275

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FAQs on GCF of Fractions of 9730/525, 1963/3775

1. What is the HCF of 9730,1963?

The HCF of 9730,1963 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 9730/525, 1963/3775?

Answer: GCF of Numerators as per given numbers 9730/525, 1963/3775 is

GCF of Numerators i.e. for 9730,1963 is 1

LCM of denominators i.e. for 525,3775 is 79275.

Thus, GCF of Fractions is 1/79275.Finally, GCF of Fractions for 9730/525, 1963/3775 is 1/79275.