How to Find GCF of 890/649, 980/841?

GCF of 890/649, 980/841

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 890/649, 980/841 i.e 10/545809 easily. The following is the detailed procedure to determine the greatest common factor of fractions 890/649, 980/841.

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 890/649,980/841?

Given fractions are 890/649,980/841

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 890/649,980/841, numerators are 890,980

Denominators are 649,841

The GCF of 890,980 is 10 .

LCM of 649,841 is 545809.

The greatest common factor of 890/649,980/841 = [GCF of 890,980]/[LCM of 649,841]= 10/545809

Therefore, the GCF of 890/649,980/841 is 10/545809.

Greatest Common Factor of 890,980

To find the highest common factor of 890,980, we have to find the factors of both numbers and list the highest common factor.

The factors of 890 are 1, 2, 5, 10, 89, 178, 445, 890

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 890,980 is 10.

Lets's calculate GCF of 890,980

Greatest Common Factor (GCF) of 890,980 By Common Division

2	890, 980
5	445, 490
	89, 98

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 890,980 By Matching Biggest Common Factor Method

Now, list down the factors of 890

1,2,5,10,89,178,445,890

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 890,980 . The biggest common factor number is the GCF number.
So the greatest common factor 890,980 is 10.

Lets's calculate LCM of 649,841

Lowest Common Multiple of 649,841 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 545809

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/545809

Therefore, the GCF of Fractions 890/649,980/841 is 10/545809

Least Common Multiple of 649,841 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 649,841 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(649,841) = 1

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

GCF(649,841) x common factors =1 x 1 = 1

LCM(649,841) = ( 649 × 841 ) / 1

LCM(649,841) = 545809 / 1

LCM(649,841) = 545809

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FAQs on GCF of Fractions of 890/649, 980/841

1. What is the HCF of 890,980?

The HCF of 890,980 is 10

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 890/649, 980/841?

Answer: GCF of Numerators as per given numbers 890/649, 980/841 is

GCF of Numerators i.e. for 890,980 is 10

LCM of denominators i.e. for 649,841 is 545809.

Thus, GCF of Fractions is 10/545809.Finally, GCF of Fractions for 890/649, 980/841 is 10/545809.