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GCF of 767/604, 7846/206

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 767/604, 7846/206 i.e 1/62212 easily. The following is the detailed procedure to determine the greatest common factor of fractions 767/604, 7846/206.

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 767/604,7846/206?

Given fractions are 767/604,7846/206

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 767/604,7846/206, numerators are 767,7846

Denominators are 604,206

The GCF of 767,7846 is 1 .

LCM of 604,206 is 62212.

The greatest common factor of 767/604,7846/206 = [GCF of 767,7846]/[LCM of 604,206]= 1/62212

Therefore, the GCF of 767/604,7846/206 is 1/62212.

Greatest Common Factor of 767,7846

To find the highest common factor of 767,7846, we have to find the factors of both numbers and list the highest common factor.

The factors of 767 are 1, 13, 59, 767

The factors of 7846 are 1, 2, 3923, 7846

The HCF of 767,7846 is 1.

Lets's calculate GCF of 767,7846

Greatest Common Factor (GCF) of 767,7846 By Common Division

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

Greatest Common Factor of 767,7846 By Matching Biggest Common Factor Method

Greatest Common Factor of 767,7846 By Matching Biggest Common Factor Method

Now, list down the factors of 767

:

1,13,59,767

Now, list down the factors of 7846

:

1,2,3923,7846

Greatest Common Factor

We found the factors 767,7846 . The biggest common factor number is the GCF number.
So the greatest common factor 767,7846 is 1.

Lets's calculate LCM of 604,206

Lowest Common Multiple of 604,206 using Common Division

2 604, 206
302, 103

∴ So the LCM of the given numbers is 2 x 302 x 103 = 62212

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/62212

Therefore, the GCF of Fractions 767/604,7846/206 is 1/62212

Least Common Multiple of 604,206 with GCF Formula

Least Common Multiple of 604,206 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 604,206 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(604,206) = 2

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

GCF(604,206) x common factors =2 x 1 = 2

LCM(604,206) = ( 604 × 206 ) / 2

LCM(604,206) = 124424 / 2

LCM(604,206) = 62212


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FAQs on GCF of Fractions of 767/604, 7846/206

1. What is the HCF of 767,7846?

The HCF of 767,7846 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 767/604, 7846/206?

Answer: GCF of Numerators as per given numbers 767/604, 7846/206 is

GCF of Numerators i.e. for 767,7846 is 1

LCM of denominators i.e. for 604,206 is 62212.

Thus, GCF of Fractions is 1/62212.Finally, GCF of Fractions for 767/604, 7846/206 is 1/62212.