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GCF of 773/796, 289/114

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 773/796, 289/114 i.e 1/45372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 773/796, 289/114.

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 773/796,289/114?

Given fractions are 773/796,289/114

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 773/796,289/114, numerators are 773,289

Denominators are 796,114

The GCF of 773,289 is 1 .

LCM of 796,114 is 45372.

The greatest common factor of 773/796,289/114 = [GCF of 773,289]/[LCM of 796,114]= 1/45372

Therefore, the GCF of 773/796,289/114 is 1/45372.

Greatest Common Factor of 773,289

To find the highest common factor of 773,289, we have to find the factors of both numbers and list the highest common factor.

The factors of 773 are 1, 773

The factors of 289 are 1, 17, 289

The HCF of 773,289 is 1.

Lets's calculate GCF of 773,289

Greatest Common Factor (GCF) of 773,289 By Common Division

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

Greatest Common Factor of 773,289 By Matching Biggest Common Factor Method

Greatest Common Factor of 773,289 By Matching Biggest Common Factor Method

Now, list down the factors of 773

:

1,773

Now, list down the factors of 289

:

1,17,289

Greatest Common Factor

We found the factors 773,289 . The biggest common factor number is the GCF number.
So the greatest common factor 773,289 is 1.

Lets's calculate LCM of 796,114

Lowest Common Multiple of 796,114 using Common Division

2 796, 114
398, 57

∴ So the LCM of the given numbers is 2 x 398 x 57 = 45372

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45372

Therefore, the GCF of Fractions 773/796,289/114 is 1/45372

Least Common Multiple of 796,114 with GCF Formula

Least Common Multiple of 796,114 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 796,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(796,114) = 2

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

GCF(796,114) x common factors =2 x 1 = 2

LCM(796,114) = ( 796 × 114 ) / 2

LCM(796,114) = 90744 / 2

LCM(796,114) = 45372


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FAQs on GCF of Fractions of 773/796, 289/114

1. What is the HCF of 773,289?

The HCF of 773,289 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 773/796, 289/114?

Answer: GCF of Numerators as per given numbers 773/796, 289/114 is

GCF of Numerators i.e. for 773,289 is 1

LCM of denominators i.e. for 796,114 is 45372.

Thus, GCF of Fractions is 1/45372.Finally, GCF of Fractions for 773/796, 289/114 is 1/45372.