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GCF of 7489/140, 7508/7046

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 7489/140, 7508/7046 i.e 1/493220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7489/140, 7508/7046.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 7489/140,7508/7046?

Given fractions are 7489/140,7508/7046

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 7489/140,7508/7046, numerators are 7489,7508

Denominators are 140,7046

The GCF of 7489,7508 is 1 .

LCM of 140,7046 is 493220.

The greatest common factor of 7489/140,7508/7046 = [GCF of 7489,7508]/[LCM of 140,7046]= 1/493220

Therefore, the GCF of 7489/140,7508/7046 is 1/493220.

Greatest Common Factor of 7489,7508

To find the highest common factor of 7489,7508, we have to find the factors of both numbers and list the highest common factor.

The factors of 7489 are 1, 7489

The factors of 7508 are 1, 2, 4, 1877, 3754, 7508

The HCF of 7489,7508 is 1.

Lets's calculate GCF of 7489,7508

Greatest Common Factor (GCF) of 7489,7508 By Common Division

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

Greatest Common Factor of 7489,7508 By Matching Biggest Common Factor Method

Greatest Common Factor of 7489,7508 By Matching Biggest Common Factor Method

Now, list down the factors of 7489

:

1,7489

Now, list down the factors of 7508

:

1,2,4,1877,3754,7508

Greatest Common Factor

We found the factors 7489,7508 . The biggest common factor number is the GCF number.
So the greatest common factor 7489,7508 is 1.

Lets's calculate LCM of 140,7046

Lowest Common Multiple of 140,7046 using Common Division

2 140, 7046
70, 3523

∴ So the LCM of the given numbers is 2 x 70 x 3523 = 493220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/493220

Therefore, the GCF of Fractions 7489/140,7508/7046 is 1/493220

Least Common Multiple of 140,7046 with GCF Formula

Least Common Multiple of 140,7046 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 140,7046 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(140,7046) = 2

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

GCF(140,7046) x common factors =2 x 1 = 2

LCM(140,7046) = ( 140 × 7046 ) / 2

LCM(140,7046) = 986440 / 2

LCM(140,7046) = 493220


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 7489/140, 7508/7046

1. What is the HCF of 7489,7508?

The HCF of 7489,7508 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 7489/140, 7508/7046?

Answer: GCF of Numerators as per given numbers 7489/140, 7508/7046 is

GCF of Numerators i.e. for 7489,7508 is 1

LCM of denominators i.e. for 140,7046 is 493220.

Thus, GCF of Fractions is 1/493220.Finally, GCF of Fractions for 7489/140, 7508/7046 is 1/493220.