How to Find GCF of 2570/100, 9949/610?

GCF of 2570/100, 9949/610

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 2570/100, 9949/610 i.e 1/6100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2570/100, 9949/610.

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 2570/100,9949/610?

Given fractions are 2570/100,9949/610

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 2570/100,9949/610, numerators are 2570,9949

Denominators are 100,610

The GCF of 2570,9949 is 1 .

LCM of 100,610 is 6100.

The greatest common factor of 2570/100,9949/610 = [GCF of 2570,9949]/[LCM of 100,610]= 1/6100

Therefore, the GCF of 2570/100,9949/610 is 1/6100.

Greatest Common Factor of 2570,9949

To find the highest common factor of 2570,9949, we have to find the factors of both numbers and list the highest common factor.

The factors of 2570 are 1, 2, 5, 10, 257, 514, 1285, 2570

The factors of 9949 are 1, 9949

The HCF of 2570,9949 is 1.

Lets's calculate GCF of 2570,9949

Greatest Common Factor (GCF) of 2570,9949 By Common Division

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

Greatest Common Factor of 2570,9949 By Matching Biggest Common Factor Method

Now, list down the factors of 2570

1,2,5,10,257,514,1285,2570

Now, list down the factors of 9949

1,9949

Greatest Common Factor

We found the factors 2570,9949 . The biggest common factor number is the GCF number.
So the greatest common factor 2570,9949 is 1.

Lets's calculate LCM of 100,610

Lowest Common Multiple of 100,610 using Common Division

2	100, 610
5	50, 305
	10, 61

∴ So the LCM of the given numbers is 2 x 5 x 10 x 61 = 6100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6100

Therefore, the GCF of Fractions 2570/100,9949/610 is 1/6100

Least Common Multiple of 100,610 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 100,610 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(100,610) = 10

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

GCF(100,610) x common factors =10 x 1 = 10

LCM(100,610) = ( 100 × 610 ) / 10

LCM(100,610) = 61000 / 10

LCM(100,610) = 6100

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FAQs on GCF of Fractions of 2570/100, 9949/610

1. What is the HCF of 2570,9949?

The HCF of 2570,9949 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 2570/100, 9949/610?

Answer: GCF of Numerators as per given numbers 2570/100, 9949/610 is

GCF of Numerators i.e. for 2570,9949 is 1

LCM of denominators i.e. for 100,610 is 6100.

Thus, GCF of Fractions is 1/6100.Finally, GCF of Fractions for 2570/100, 9949/610 is 1/6100.