How to Find GCF of 1913/980, 5855/5070?

GCF of 1913/980, 5855/5070

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 1913/980, 5855/5070 i.e 1/496860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1913/980, 5855/5070.

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 1913/980,5855/5070?

Given fractions are 1913/980,5855/5070

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 1913/980,5855/5070, numerators are 1913,5855

Denominators are 980,5070

The GCF of 1913,5855 is 1 .

LCM of 980,5070 is 496860.

The greatest common factor of 1913/980,5855/5070 = [GCF of 1913,5855]/[LCM of 980,5070]= 1/496860

Therefore, the GCF of 1913/980,5855/5070 is 1/496860.

Greatest Common Factor of 1913,5855

To find the highest common factor of 1913,5855, we have to find the factors of both numbers and list the highest common factor.

The factors of 1913 are 1, 1913

The factors of 5855 are 1, 5, 1171, 5855

The HCF of 1913,5855 is 1.

Lets's calculate GCF of 1913,5855

Greatest Common Factor (GCF) of 1913,5855 By Common Division

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

Greatest Common Factor of 1913,5855 By Matching Biggest Common Factor Method

Now, list down the factors of 1913

1,1913

Now, list down the factors of 5855

1,5,1171,5855

Greatest Common Factor

We found the factors 1913,5855 . The biggest common factor number is the GCF number.
So the greatest common factor 1913,5855 is 1.

Lets's calculate LCM of 980,5070

Lowest Common Multiple of 980,5070 using Common Division

2	980, 5070
5	490, 2535
	98, 507

∴ So the LCM of the given numbers is 2 x 5 x 98 x 507 = 496860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/496860

Therefore, the GCF of Fractions 1913/980,5855/5070 is 1/496860

Least Common Multiple of 980,5070 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 980,5070 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(980,5070) = 10

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

GCF(980,5070) x common factors =10 x 1 = 10

LCM(980,5070) = ( 980 × 5070 ) / 10

LCM(980,5070) = 4968600 / 10

LCM(980,5070) = 496860

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FAQs on GCF of Fractions of 1913/980, 5855/5070

1. What is the HCF of 1913,5855?

The HCF of 1913,5855 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 1913/980, 5855/5070?

Answer: GCF of Numerators as per given numbers 1913/980, 5855/5070 is

GCF of Numerators i.e. for 1913,5855 is 1

LCM of denominators i.e. for 980,5070 is 496860.

Thus, GCF of Fractions is 1/496860.Finally, GCF of Fractions for 1913/980, 5855/5070 is 1/496860.