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GCF of 766/262, 9836/171

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 766/262, 9836/171 i.e 2/44802 easily. The following is the detailed procedure to determine the greatest common factor of fractions 766/262, 9836/171.

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 766/262,9836/171?

Given fractions are 766/262,9836/171

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 766/262,9836/171, numerators are 766,9836

Denominators are 262,171

The GCF of 766,9836 is 2 .

LCM of 262,171 is 44802.

The greatest common factor of 766/262,9836/171 = [GCF of 766,9836]/[LCM of 262,171]= 2/44802

Therefore, the GCF of 766/262,9836/171 is 2/44802.

Greatest Common Factor of 766,9836

To find the highest common factor of 766,9836, we have to find the factors of both numbers and list the highest common factor.

The factors of 766 are 1, 2, 383, 766

The factors of 9836 are 1, 2, 4, 2459, 4918, 9836

The HCF of 766,9836 is 2.

Lets's calculate GCF of 766,9836

Greatest Common Factor (GCF) of 766,9836 By Common Division

2 766, 9836
383, 4918

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 766,9836 By Matching Biggest Common Factor Method

Greatest Common Factor of 766,9836 By Matching Biggest Common Factor Method

Now, list down the factors of 766

:

1,2,383,766

Now, list down the factors of 9836

:

1,2,4,2459,4918,9836

Greatest Common Factor

We found the factors 766,9836 . The biggest common factor number is the GCF number.
So the greatest common factor 766,9836 is 2.

Lets's calculate LCM of 262,171

Lowest Common Multiple of 262,171 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 44802

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/44802

Therefore, the GCF of Fractions 766/262,9836/171 is 2/44802

Least Common Multiple of 262,171 with GCF Formula

Least Common Multiple of 262,171 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 262,171 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(262,171) = 1

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

GCF(262,171) x common factors =1 x 1 = 1

LCM(262,171) = ( 262 × 171 ) / 1

LCM(262,171) = 44802 / 1

LCM(262,171) = 44802


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FAQs on GCF of Fractions of 766/262, 9836/171

1. What is the HCF of 766,9836?

The HCF of 766,9836 is 2

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 766/262, 9836/171?

Answer: GCF of Numerators as per given numbers 766/262, 9836/171 is

GCF of Numerators i.e. for 766,9836 is 2

LCM of denominators i.e. for 262,171 is 44802.

Thus, GCF of Fractions is 2/44802.Finally, GCF of Fractions for 766/262, 9836/171 is 2/44802.