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GCF of 445/25, 980/937

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 445/25, 980/937 i.e 5/23425 easily. The following is the detailed procedure to determine the greatest common factor of fractions 445/25, 980/937.

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 445/25,980/937?

Given fractions are 445/25,980/937

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 445/25,980/937, numerators are 445,980

Denominators are 25,937

The GCF of 445,980 is 5 .

LCM of 25,937 is 23425.

The greatest common factor of 445/25,980/937 = [GCF of 445,980]/[LCM of 25,937]= 5/23425

Therefore, the GCF of 445/25,980/937 is 5/23425.

Greatest Common Factor of 445,980

To find the highest common factor of 445,980, we have to find the factors of both numbers and list the highest common factor.

The factors of 445 are 1, 5, 89, 445

The factors of 980 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

The HCF of 445,980 is 5.

Lets's calculate GCF of 445,980

Greatest Common Factor (GCF) of 445,980 By Common Division

5 445, 980
89, 196

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 445,980 By Matching Biggest Common Factor Method

Greatest Common Factor of 445,980 By Matching Biggest Common Factor Method

Now, list down the factors of 445

:

1,5,89,445

Now, list down the factors of 980

:

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Greatest Common Factor

We found the factors 445,980 . The biggest common factor number is the GCF number.
So the greatest common factor 445,980 is 5.

Lets's calculate LCM of 25,937

Lowest Common Multiple of 25,937 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 23425

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/23425

Therefore, the GCF of Fractions 445/25,980/937 is 5/23425

Least Common Multiple of 25,937 with GCF Formula

Least Common Multiple of 25,937 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 25,937 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,937) = 1

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

GCF(25,937) x common factors =1 x 1 = 1

LCM(25,937) = ( 25 × 937 ) / 1

LCM(25,937) = 23425 / 1

LCM(25,937) = 23425


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FAQs on GCF of Fractions of 445/25, 980/937

1. What is the HCF of 445,980?

The HCF of 445,980 is 5

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 445/25, 980/937?

Answer: GCF of Numerators as per given numbers 445/25, 980/937 is

GCF of Numerators i.e. for 445,980 is 5

LCM of denominators i.e. for 25,937 is 23425.

Thus, GCF of Fractions is 5/23425.Finally, GCF of Fractions for 445/25, 980/937 is 5/23425.