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GCF of 782/978, 5097/540

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 782/978, 5097/540 i.e 1/88020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 782/978, 5097/540.

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 782/978,5097/540?

Given fractions are 782/978,5097/540

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 782/978,5097/540, numerators are 782,5097

Denominators are 978,540

The GCF of 782,5097 is 1 .

LCM of 978,540 is 88020.

The greatest common factor of 782/978,5097/540 = [GCF of 782,5097]/[LCM of 978,540]= 1/88020

Therefore, the GCF of 782/978,5097/540 is 1/88020.

Greatest Common Factor of 782,5097

To find the highest common factor of 782,5097, we have to find the factors of both numbers and list the highest common factor.

The factors of 782 are 1, 2, 17, 23, 34, 46, 391, 782

The factors of 5097 are 1, 3, 1699, 5097

The HCF of 782,5097 is 1.

Lets's calculate GCF of 782,5097

Greatest Common Factor (GCF) of 782,5097 By Common Division

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

Greatest Common Factor of 782,5097 By Matching Biggest Common Factor Method

Greatest Common Factor of 782,5097 By Matching Biggest Common Factor Method

Now, list down the factors of 782

:

1,2,17,23,34,46,391,782

Now, list down the factors of 5097

:

1,3,1699,5097

Greatest Common Factor

We found the factors 782,5097 . The biggest common factor number is the GCF number.
So the greatest common factor 782,5097 is 1.

Lets's calculate LCM of 978,540

Lowest Common Multiple of 978,540 using Common Division

2 978, 540
3 489, 270
163, 90

∴ So the LCM of the given numbers is 2 x 3 x 163 x 90 = 88020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/88020

Therefore, the GCF of Fractions 782/978,5097/540 is 1/88020

Least Common Multiple of 978,540 with GCF Formula

Least Common Multiple of 978,540 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 978,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(978,540) = 6

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

GCF(978,540) x common factors =6 x 1 = 6

LCM(978,540) = ( 978 × 540 ) / 6

LCM(978,540) = 528120 / 6

LCM(978,540) = 88020


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FAQs on GCF of Fractions of 782/978, 5097/540

1. What is the HCF of 782,5097?

The HCF of 782,5097 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 782/978, 5097/540?

Answer: GCF of Numerators as per given numbers 782/978, 5097/540 is

GCF of Numerators i.e. for 782,5097 is 1

LCM of denominators i.e. for 978,540 is 88020.

Thus, GCF of Fractions is 1/88020.Finally, GCF of Fractions for 782/978, 5097/540 is 1/88020.