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GCF of 9902/397, 6781/1930

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 9902/397, 6781/1930 i.e 1/766210 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9902/397, 6781/1930.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 9902/397,6781/1930?

Given fractions are 9902/397,6781/1930

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 9902/397,6781/1930, numerators are 9902,6781

Denominators are 397,1930

The GCF of 9902,6781 is 1 .

LCM of 397,1930 is 766210.

The greatest common factor of 9902/397,6781/1930 = [GCF of 9902,6781]/[LCM of 397,1930]= 1/766210

Therefore, the GCF of 9902/397,6781/1930 is 1/766210.

Greatest Common Factor of 9902,6781

To find the highest common factor of 9902,6781, we have to find the factors of both numbers and list the highest common factor.

The factors of 9902 are 1, 2, 4951, 9902

The factors of 6781 are 1, 6781

The HCF of 9902,6781 is 1.

Lets's calculate GCF of 9902,6781

Greatest Common Factor (GCF) of 9902,6781 By Common Division

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

Greatest Common Factor of 9902,6781 By Matching Biggest Common Factor Method

Greatest Common Factor of 9902,6781 By Matching Biggest Common Factor Method

Now, list down the factors of 9902

:

1,2,4951,9902

Now, list down the factors of 6781

:

1,6781

Greatest Common Factor

We found the factors 9902,6781 . The biggest common factor number is the GCF number.
So the greatest common factor 9902,6781 is 1.

Lets's calculate LCM of 397,1930

Lowest Common Multiple of 397,1930 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 766210

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/766210

Therefore, the GCF of Fractions 9902/397,6781/1930 is 1/766210

Least Common Multiple of 397,1930 with GCF Formula

Least Common Multiple of 397,1930 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 397,1930 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(397,1930) = 1

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

GCF(397,1930) x common factors =1 x 1 = 1

LCM(397,1930) = ( 397 × 1930 ) / 1

LCM(397,1930) = 766210 / 1

LCM(397,1930) = 766210


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FAQs on GCF of Fractions of 9902/397, 6781/1930

1. What is the HCF of 9902,6781?

The HCF of 9902,6781 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 9902/397, 6781/1930?

Answer: GCF of Numerators as per given numbers 9902/397, 6781/1930 is

GCF of Numerators i.e. for 9902,6781 is 1

LCM of denominators i.e. for 397,1930 is 766210.

Thus, GCF of Fractions is 1/766210.Finally, GCF of Fractions for 9902/397, 6781/1930 is 1/766210.