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GCF of 248/83, 768/780

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 248/83, 768/780 i.e 8/64740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 248/83, 768/780.

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 248/83,768/780?

Given fractions are 248/83,768/780

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 248/83,768/780, numerators are 248,768

Denominators are 83,780

The GCF of 248,768 is 8 .

LCM of 83,780 is 64740.

The greatest common factor of 248/83,768/780 = [GCF of 248,768]/[LCM of 83,780]= 8/64740

Therefore, the GCF of 248/83,768/780 is 8/64740.

Greatest Common Factor of 248,768

To find the highest common factor of 248,768, we have to find the factors of both numbers and list the highest common factor.

The factors of 248 are 1, 2, 4, 8, 31, 62, 124, 248

The factors of 768 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

The HCF of 248,768 is 8.

Lets's calculate GCF of 248,768

Greatest Common Factor (GCF) of 248,768 By Common Division

2 248, 768
2 124, 384
2 62, 192
31, 96

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 248,768 By Matching Biggest Common Factor Method

Greatest Common Factor of 248,768 By Matching Biggest Common Factor Method

Now, list down the factors of 248

:

1,2,4,8,31,62,124,248

Now, list down the factors of 768

:

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Greatest Common Factor

We found the factors 248,768 . The biggest common factor number is the GCF number.
So the greatest common factor 248,768 is 8.

Lets's calculate LCM of 83,780

Lowest Common Multiple of 83,780 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 64740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/64740

Therefore, the GCF of Fractions 248/83,768/780 is 8/64740

Least Common Multiple of 83,780 with GCF Formula

Least Common Multiple of 83,780 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 83,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,780) = 1

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

GCF(83,780) x common factors =1 x 1 = 1

LCM(83,780) = ( 83 × 780 ) / 1

LCM(83,780) = 64740 / 1

LCM(83,780) = 64740


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FAQs on GCF of Fractions of 248/83, 768/780

1. What is the HCF of 248,768?

The HCF of 248,768 is 8

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 248/83, 768/780?

Answer: GCF of Numerators as per given numbers 248/83, 768/780 is

GCF of Numerators i.e. for 248,768 is 8

LCM of denominators i.e. for 83,780 is 64740.

Thus, GCF of Fractions is 8/64740.Finally, GCF of Fractions for 248/83, 768/780 is 8/64740.