How to Find GCF of 2503/307, 4951/9730?

GCF of 2503/307, 4951/9730

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 2503/307, 4951/9730 i.e 1/2987110 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2503/307, 4951/9730.

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 2503/307,4951/9730?

Given fractions are 2503/307,4951/9730

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 2503/307,4951/9730, numerators are 2503,4951

Denominators are 307,9730

The GCF of 2503,4951 is 1 .

LCM of 307,9730 is 2987110.

The greatest common factor of 2503/307,4951/9730 = [GCF of 2503,4951]/[LCM of 307,9730]= 1/2987110

Therefore, the GCF of 2503/307,4951/9730 is 1/2987110.

Greatest Common Factor of 2503,4951

To find the highest common factor of 2503,4951, we have to find the factors of both numbers and list the highest common factor.

The factors of 2503 are 1, 2503

The factors of 4951 are 1, 4951

The HCF of 2503,4951 is 1.

Lets's calculate GCF of 2503,4951

Greatest Common Factor (GCF) of 2503,4951 By Common Division

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

Greatest Common Factor of 2503,4951 By Matching Biggest Common Factor Method

Now, list down the factors of 2503

1,2503

Now, list down the factors of 4951

1,4951

Greatest Common Factor

We found the factors 2503,4951 . The biggest common factor number is the GCF number.
So the greatest common factor 2503,4951 is 1.

Lets's calculate LCM of 307,9730

Lowest Common Multiple of 307,9730 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2987110

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2987110

Therefore, the GCF of Fractions 2503/307,4951/9730 is 1/2987110

Least Common Multiple of 307,9730 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 307,9730 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(307,9730) = 1

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

GCF(307,9730) x common factors =1 x 1 = 1

LCM(307,9730) = ( 307 × 9730 ) / 1

LCM(307,9730) = 2987110 / 1

LCM(307,9730) = 2987110

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FAQs on GCF of Fractions of 2503/307, 4951/9730

1. What is the HCF of 2503,4951?

The HCF of 2503,4951 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 2503/307, 4951/9730?

Answer: GCF of Numerators as per given numbers 2503/307, 4951/9730 is

GCF of Numerators i.e. for 2503,4951 is 1

LCM of denominators i.e. for 307,9730 is 2987110.

Thus, GCF of Fractions is 1/2987110.Finally, GCF of Fractions for 2503/307, 4951/9730 is 1/2987110.