How to Find GCF of 9770/760, 3533/6168?

GCF of 9770/760, 3533/6168

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 9770/760, 3533/6168 i.e 1/585960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9770/760, 3533/6168.

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 9770/760,3533/6168?

Given fractions are 9770/760,3533/6168

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 9770/760,3533/6168, numerators are 9770,3533

Denominators are 760,6168

The GCF of 9770,3533 is 1 .

LCM of 760,6168 is 585960.

The greatest common factor of 9770/760,3533/6168 = [GCF of 9770,3533]/[LCM of 760,6168]= 1/585960

Therefore, the GCF of 9770/760,3533/6168 is 1/585960.

Greatest Common Factor of 9770,3533

To find the highest common factor of 9770,3533, we have to find the factors of both numbers and list the highest common factor.

The factors of 9770 are 1, 2, 5, 10, 977, 1954, 4885, 9770

The factors of 3533 are 1, 3533

The HCF of 9770,3533 is 1.

Lets's calculate GCF of 9770,3533

Greatest Common Factor (GCF) of 9770,3533 By Common Division

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

Greatest Common Factor of 9770,3533 By Matching Biggest Common Factor Method

Now, list down the factors of 9770

1,2,5,10,977,1954,4885,9770

Now, list down the factors of 3533

1,3533

Greatest Common Factor

We found the factors 9770,3533 . The biggest common factor number is the GCF number.
So the greatest common factor 9770,3533 is 1.

Lets's calculate LCM of 760,6168

Lowest Common Multiple of 760,6168 using Common Division

2	760, 6168
2	380, 3084
2	190, 1542
	95, 771

∴ So the LCM of the given numbers is 2 x 2 x 2 x 95 x 771 = 585960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/585960

Therefore, the GCF of Fractions 9770/760,3533/6168 is 1/585960

Least Common Multiple of 760,6168 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 760,6168 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(760,6168) = 8

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

GCF(760,6168) x common factors =8 x 1 = 8

LCM(760,6168) = ( 760 × 6168 ) / 8

LCM(760,6168) = 4687680 / 8

LCM(760,6168) = 585960

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FAQs on GCF of Fractions of 9770/760, 3533/6168

1. What is the HCF of 9770,3533?

The HCF of 9770,3533 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 9770/760, 3533/6168?

Answer: GCF of Numerators as per given numbers 9770/760, 3533/6168 is

GCF of Numerators i.e. for 9770,3533 is 1

LCM of denominators i.e. for 760,6168 is 585960.

Thus, GCF of Fractions is 1/585960.Finally, GCF of Fractions for 9770/760, 3533/6168 is 1/585960.