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GCF of 1257/786, 7723/254

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 1257/786, 7723/254 i.e 1/99822 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1257/786, 7723/254.

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 1257/786,7723/254?

Given fractions are 1257/786,7723/254

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 1257/786,7723/254, numerators are 1257,7723

Denominators are 786,254

The GCF of 1257,7723 is 1 .

LCM of 786,254 is 99822.

The greatest common factor of 1257/786,7723/254 = [GCF of 1257,7723]/[LCM of 786,254]= 1/99822

Therefore, the GCF of 1257/786,7723/254 is 1/99822.

Greatest Common Factor of 1257,7723

To find the highest common factor of 1257,7723, we have to find the factors of both numbers and list the highest common factor.

The factors of 1257 are 1, 3, 419, 1257

The factors of 7723 are 1, 7723

The HCF of 1257,7723 is 1.

Lets's calculate GCF of 1257,7723

Greatest Common Factor (GCF) of 1257,7723 By Common Division

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

Greatest Common Factor of 1257,7723 By Matching Biggest Common Factor Method

Greatest Common Factor of 1257,7723 By Matching Biggest Common Factor Method

Now, list down the factors of 1257

:

1,3,419,1257

Now, list down the factors of 7723

:

1,7723

Greatest Common Factor

We found the factors 1257,7723 . The biggest common factor number is the GCF number.
So the greatest common factor 1257,7723 is 1.

Lets's calculate LCM of 786,254

Lowest Common Multiple of 786,254 using Common Division

2 786, 254
393, 127

∴ So the LCM of the given numbers is 2 x 393 x 127 = 99822

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/99822

Therefore, the GCF of Fractions 1257/786,7723/254 is 1/99822

Least Common Multiple of 786,254 with GCF Formula

Least Common Multiple of 786,254 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 786,254 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(786,254) = 2

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

GCF(786,254) x common factors =2 x 1 = 2

LCM(786,254) = ( 786 × 254 ) / 2

LCM(786,254) = 199644 / 2

LCM(786,254) = 99822


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FAQs on GCF of Fractions of 1257/786, 7723/254

1. What is the HCF of 1257,7723?

The HCF of 1257,7723 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 1257/786, 7723/254?

Answer: GCF of Numerators as per given numbers 1257/786, 7723/254 is

GCF of Numerators i.e. for 1257,7723 is 1

LCM of denominators i.e. for 786,254 is 99822.

Thus, GCF of Fractions is 1/99822.Finally, GCF of Fractions for 1257/786, 7723/254 is 1/99822.