How to Find GCF of 7430/740, 4973/8980?

GCF of 7430/740, 4973/8980

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 7430/740, 4973/8980 i.e 1/332260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7430/740, 4973/8980.

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 7430/740,4973/8980?

Given fractions are 7430/740,4973/8980

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 7430/740,4973/8980, numerators are 7430,4973

Denominators are 740,8980

The GCF of 7430,4973 is 1 .

LCM of 740,8980 is 332260.

The greatest common factor of 7430/740,4973/8980 = [GCF of 7430,4973]/[LCM of 740,8980]= 1/332260

Therefore, the GCF of 7430/740,4973/8980 is 1/332260.

Greatest Common Factor of 7430,4973

To find the highest common factor of 7430,4973, we have to find the factors of both numbers and list the highest common factor.

The factors of 7430 are 1, 2, 5, 10, 743, 1486, 3715, 7430

The factors of 4973 are 1, 4973

The HCF of 7430,4973 is 1.

Lets's calculate GCF of 7430,4973

Greatest Common Factor (GCF) of 7430,4973 By Common Division

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

Greatest Common Factor of 7430,4973 By Matching Biggest Common Factor Method

Now, list down the factors of 7430

1,2,5,10,743,1486,3715,7430

Now, list down the factors of 4973

1,4973

Greatest Common Factor

We found the factors 7430,4973 . The biggest common factor number is the GCF number.
So the greatest common factor 7430,4973 is 1.

Lets's calculate LCM of 740,8980

Lowest Common Multiple of 740,8980 using Common Division

2	740, 8980
2	370, 4490
5	185, 2245
	37, 449

∴ So the LCM of the given numbers is 2 x 2 x 5 x 37 x 449 = 332260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/332260

Therefore, the GCF of Fractions 7430/740,4973/8980 is 1/332260

Least Common Multiple of 740,8980 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 740,8980 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(740,8980) = 20

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

GCF(740,8980) x common factors =20 x 1 = 20

LCM(740,8980) = ( 740 × 8980 ) / 20

LCM(740,8980) = 6645200 / 20

LCM(740,8980) = 332260

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FAQs on GCF of Fractions of 7430/740, 4973/8980

1. What is the HCF of 7430,4973?

The HCF of 7430,4973 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 7430/740, 4973/8980?

Answer: GCF of Numerators as per given numbers 7430/740, 4973/8980 is

GCF of Numerators i.e. for 7430,4973 is 1

LCM of denominators i.e. for 740,8980 is 332260.

Thus, GCF of Fractions is 1/332260.Finally, GCF of Fractions for 7430/740, 4973/8980 is 1/332260.