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GCF of 763/208, 4169/997

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 763/208, 4169/997 i.e 1/207376 easily. The following is the detailed procedure to determine the greatest common factor of fractions 763/208, 4169/997.

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 763/208,4169/997?

Given fractions are 763/208,4169/997

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 763/208,4169/997, numerators are 763,4169

Denominators are 208,997

The GCF of 763,4169 is 1 .

LCM of 208,997 is 207376.

The greatest common factor of 763/208,4169/997 = [GCF of 763,4169]/[LCM of 208,997]= 1/207376

Therefore, the GCF of 763/208,4169/997 is 1/207376.

Greatest Common Factor of 763,4169

To find the highest common factor of 763,4169, we have to find the factors of both numbers and list the highest common factor.

The factors of 763 are 1, 7, 109, 763

The factors of 4169 are 1, 11, 379, 4169

The HCF of 763,4169 is 1.

Lets's calculate GCF of 763,4169

Greatest Common Factor (GCF) of 763,4169 By Common Division

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

Greatest Common Factor of 763,4169 By Matching Biggest Common Factor Method

Greatest Common Factor of 763,4169 By Matching Biggest Common Factor Method

Now, list down the factors of 763

:

1,7,109,763

Now, list down the factors of 4169

:

1,11,379,4169

Greatest Common Factor

We found the factors 763,4169 . The biggest common factor number is the GCF number.
So the greatest common factor 763,4169 is 1.

Lets's calculate LCM of 208,997

Lowest Common Multiple of 208,997 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 207376

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/207376

Therefore, the GCF of Fractions 763/208,4169/997 is 1/207376

Least Common Multiple of 208,997 with GCF Formula

Least Common Multiple of 208,997 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 208,997 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(208,997) = 1

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

GCF(208,997) x common factors =1 x 1 = 1

LCM(208,997) = ( 208 × 997 ) / 1

LCM(208,997) = 207376 / 1

LCM(208,997) = 207376


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FAQs on GCF of Fractions of 763/208, 4169/997

1. What is the HCF of 763,4169?

The HCF of 763,4169 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 763/208, 4169/997?

Answer: GCF of Numerators as per given numbers 763/208, 4169/997 is

GCF of Numerators i.e. for 763,4169 is 1

LCM of denominators i.e. for 208,997 is 207376.

Thus, GCF of Fractions is 1/207376.Finally, GCF of Fractions for 763/208, 4169/997 is 1/207376.