How to Find GCF of 980/365, 3904/2213?

GCF of 980/365, 3904/2213

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 980/365, 3904/2213 i.e 4/807745 easily. The following is the detailed procedure to determine the greatest common factor of fractions 980/365, 3904/2213.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 980/365,3904/2213?

Given fractions are 980/365,3904/2213

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 980/365,3904/2213, numerators are 980,3904

Denominators are 365,2213

The GCF of 980,3904 is 4 .

LCM of 365,2213 is 807745.

The greatest common factor of 980/365,3904/2213 = [GCF of 980,3904]/[LCM of 365,2213]= 4/807745

Therefore, the GCF of 980/365,3904/2213 is 4/807745.

Greatest Common Factor of 980,3904

To find the highest common factor of 980,3904, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 3904 are 1, 2, 4, 8, 16, 32, 61, 64, 122, 244, 488, 976, 1952, 3904

The HCF of 980,3904 is 4.

Lets's calculate GCF of 980,3904

Greatest Common Factor (GCF) of 980,3904 By Common Division

2	980, 3904
2	490, 1952
	245, 976

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 980,3904 By Matching Biggest Common Factor Method

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

Now, list down the factors of 3904

1,2,4,8,16,32,61,64,122,244,488,976,1952,3904

Greatest Common Factor

We found the factors 980,3904 . The biggest common factor number is the GCF number.
So the greatest common factor 980,3904 is 4.

Lets's calculate LCM of 365,2213

Lowest Common Multiple of 365,2213 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 807745

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/807745

Therefore, the GCF of Fractions 980/365,3904/2213 is 4/807745

Least Common Multiple of 365,2213 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 365,2213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(365,2213) = 1

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

GCF(365,2213) x common factors =1 x 1 = 1

LCM(365,2213) = ( 365 × 2213 ) / 1

LCM(365,2213) = 807745 / 1

LCM(365,2213) = 807745

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FAQs on GCF of Fractions of 980/365, 3904/2213

1. What is the HCF of 980,3904?

The HCF of 980,3904 is 4

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 980/365, 3904/2213?

Answer: GCF of Numerators as per given numbers 980/365, 3904/2213 is

GCF of Numerators i.e. for 980,3904 is 4

LCM of denominators i.e. for 365,2213 is 807745.

Thus, GCF of Fractions is 4/807745.Finally, GCF of Fractions for 980/365, 3904/2213 is 4/807745.