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GCF of 773/47, 582/151

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 773/47, 582/151 i.e 1/7097 easily. The following is the detailed procedure to determine the greatest common factor of fractions 773/47, 582/151.

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 773/47,582/151?

Given fractions are 773/47,582/151

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 773/47,582/151, numerators are 773,582

Denominators are 47,151

The GCF of 773,582 is 1 .

LCM of 47,151 is 7097.

The greatest common factor of 773/47,582/151 = [GCF of 773,582]/[LCM of 47,151]= 1/7097

Therefore, the GCF of 773/47,582/151 is 1/7097.

Greatest Common Factor of 773,582

To find the highest common factor of 773,582, 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 582 are 1, 2, 3, 6, 97, 194, 291, 582

The HCF of 773,582 is 1.

Lets's calculate GCF of 773,582

Greatest Common Factor (GCF) of 773,582 By Common Division

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

Greatest Common Factor of 773,582 By Matching Biggest Common Factor Method

Greatest Common Factor of 773,582 By Matching Biggest Common Factor Method

Now, list down the factors of 773

:

1,773

Now, list down the factors of 582

:

1,2,3,6,97,194,291,582

Greatest Common Factor

We found the factors 773,582 . The biggest common factor number is the GCF number.
So the greatest common factor 773,582 is 1.

Lets's calculate LCM of 47,151

Lowest Common Multiple of 47,151 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7097

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7097

Therefore, the GCF of Fractions 773/47,582/151 is 1/7097

Least Common Multiple of 47,151 with GCF Formula

Least Common Multiple of 47,151 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 47,151 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,151) = 1

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

GCF(47,151) x common factors =1 x 1 = 1

LCM(47,151) = ( 47 × 151 ) / 1

LCM(47,151) = 7097 / 1

LCM(47,151) = 7097


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FAQs on GCF of Fractions of 773/47, 582/151

1. What is the HCF of 773,582?

The HCF of 773,582 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 773/47, 582/151?

Answer: GCF of Numerators as per given numbers 773/47, 582/151 is

GCF of Numerators i.e. for 773,582 is 1

LCM of denominators i.e. for 47,151 is 7097.

Thus, GCF of Fractions is 1/7097.Finally, GCF of Fractions for 773/47, 582/151 is 1/7097.