How to Find GCF of 9797/171, 1986/770?

GCF of 9797/171, 1986/770

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 9797/171, 1986/770 i.e 1/131670 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9797/171, 1986/770.

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 9797/171,1986/770?

Given fractions are 9797/171,1986/770

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 9797/171,1986/770, numerators are 9797,1986

Denominators are 171,770

The GCF of 9797,1986 is 1 .

LCM of 171,770 is 131670.

The greatest common factor of 9797/171,1986/770 = [GCF of 9797,1986]/[LCM of 171,770]= 1/131670

Therefore, the GCF of 9797/171,1986/770 is 1/131670.

Greatest Common Factor of 9797,1986

To find the highest common factor of 9797,1986, we have to find the factors of both numbers and list the highest common factor.

The factors of 9797 are 1, 97, 101, 9797

The factors of 1986 are 1, 2, 3, 6, 331, 662, 993, 1986

The HCF of 9797,1986 is 1.

Lets's calculate GCF of 9797,1986

Greatest Common Factor (GCF) of 9797,1986 By Common Division

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

Greatest Common Factor of 9797,1986 By Matching Biggest Common Factor Method

Now, list down the factors of 9797

1,97,101,9797

Now, list down the factors of 1986

1,2,3,6,331,662,993,1986

Greatest Common Factor

We found the factors 9797,1986 . The biggest common factor number is the GCF number.
So the greatest common factor 9797,1986 is 1.

Lets's calculate LCM of 171,770

Lowest Common Multiple of 171,770 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 131670

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/131670

Therefore, the GCF of Fractions 9797/171,1986/770 is 1/131670

Least Common Multiple of 171,770 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 171,770 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(171,770) = 1

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

GCF(171,770) x common factors =1 x 1 = 1

LCM(171,770) = ( 171 × 770 ) / 1

LCM(171,770) = 131670 / 1

LCM(171,770) = 131670

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FAQs on GCF of Fractions of 9797/171, 1986/770

1. What is the HCF of 9797,1986?

The HCF of 9797,1986 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 9797/171, 1986/770?

Answer: GCF of Numerators as per given numbers 9797/171, 1986/770 is

GCF of Numerators i.e. for 9797,1986 is 1

LCM of denominators i.e. for 171,770 is 131670.

Thus, GCF of Fractions is 1/131670.Finally, GCF of Fractions for 9797/171, 1986/770 is 1/131670.