How to Find GCF of 7523/942, 2948/2540?

GCF of 7523/942, 2948/2540

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 7523/942, 2948/2540 i.e 1/1196340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7523/942, 2948/2540.

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 7523/942,2948/2540?

Given fractions are 7523/942,2948/2540

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 7523/942,2948/2540, numerators are 7523,2948

Denominators are 942,2540

The GCF of 7523,2948 is 1 .

LCM of 942,2540 is 1196340.

The greatest common factor of 7523/942,2948/2540 = [GCF of 7523,2948]/[LCM of 942,2540]= 1/1196340

Therefore, the GCF of 7523/942,2948/2540 is 1/1196340.

Greatest Common Factor of 7523,2948

To find the highest common factor of 7523,2948, we have to find the factors of both numbers and list the highest common factor.

The factors of 7523 are 1, 7523

The factors of 2948 are 1, 2, 4, 11, 22, 44, 67, 134, 268, 737, 1474, 2948

The HCF of 7523,2948 is 1.

Lets's calculate GCF of 7523,2948

Greatest Common Factor (GCF) of 7523,2948 By Common Division

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

Greatest Common Factor of 7523,2948 By Matching Biggest Common Factor Method

Now, list down the factors of 7523

1,7523

Now, list down the factors of 2948

1,2,4,11,22,44,67,134,268,737,1474,2948

Greatest Common Factor

We found the factors 7523,2948 . The biggest common factor number is the GCF number.
So the greatest common factor 7523,2948 is 1.

Lets's calculate LCM of 942,2540

Lowest Common Multiple of 942,2540 using Common Division

2	942, 2540
	471, 1270

∴ So the LCM of the given numbers is 2 x 471 x 1270 = 1196340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1196340

Therefore, the GCF of Fractions 7523/942,2948/2540 is 1/1196340

Least Common Multiple of 942,2540 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 942,2540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(942,2540) = 2

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

GCF(942,2540) x common factors =2 x 1 = 2

LCM(942,2540) = ( 942 × 2540 ) / 2

LCM(942,2540) = 2392680 / 2

LCM(942,2540) = 1196340

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 7523/942, 2948/2540

1. What is the HCF of 7523,2948?

The HCF of 7523,2948 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 7523/942, 2948/2540?

Answer: GCF of Numerators as per given numbers 7523/942, 2948/2540 is

GCF of Numerators i.e. for 7523,2948 is 1

LCM of denominators i.e. for 942,2540 is 1196340.

Thus, GCF of Fractions is 1/1196340.Finally, GCF of Fractions for 7523/942, 2948/2540 is 1/1196340.