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GCF of 986/78, 383/206

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 986/78, 383/206 i.e 1/8034 easily. The following is the detailed procedure to determine the greatest common factor of fractions 986/78, 383/206.

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 986/78,383/206?

Given fractions are 986/78,383/206

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 986/78,383/206, numerators are 986,383

Denominators are 78,206

The GCF of 986,383 is 1 .

LCM of 78,206 is 8034.

The greatest common factor of 986/78,383/206 = [GCF of 986,383]/[LCM of 78,206]= 1/8034

Therefore, the GCF of 986/78,383/206 is 1/8034.

Greatest Common Factor of 986,383

To find the highest common factor of 986,383, we have to find the factors of both numbers and list the highest common factor.

The factors of 986 are 1, 2, 17, 29, 34, 58, 493, 986

The factors of 383 are 1, 383

The HCF of 986,383 is 1.

Lets's calculate GCF of 986,383

Greatest Common Factor (GCF) of 986,383 By Common Division

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

Greatest Common Factor of 986,383 By Matching Biggest Common Factor Method

Greatest Common Factor of 986,383 By Matching Biggest Common Factor Method

Now, list down the factors of 986

:

1,2,17,29,34,58,493,986

Now, list down the factors of 383

:

1,383

Greatest Common Factor

We found the factors 986,383 . The biggest common factor number is the GCF number.
So the greatest common factor 986,383 is 1.

Lets's calculate LCM of 78,206

Lowest Common Multiple of 78,206 using Common Division

2 78, 206
39, 103

∴ So the LCM of the given numbers is 2 x 39 x 103 = 8034

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8034

Therefore, the GCF of Fractions 986/78,383/206 is 1/8034

Least Common Multiple of 78,206 with GCF Formula

Least Common Multiple of 78,206 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 78,206 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,206) = 2

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

GCF(78,206) x common factors =2 x 1 = 2

LCM(78,206) = ( 78 × 206 ) / 2

LCM(78,206) = 16068 / 2

LCM(78,206) = 8034


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FAQs on GCF of Fractions of 986/78, 383/206

1. What is the HCF of 986,383?

The HCF of 986,383 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 986/78, 383/206?

Answer: GCF of Numerators as per given numbers 986/78, 383/206 is

GCF of Numerators i.e. for 986,383 is 1

LCM of denominators i.e. for 78,206 is 8034.

Thus, GCF of Fractions is 1/8034.Finally, GCF of Fractions for 986/78, 383/206 is 1/8034.