How to Find GCF of 7023/930, 7369/4898?

GCF of 7023/930, 7369/4898

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 7023/930, 7369/4898 i.e 1/73470 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7023/930, 7369/4898.

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 7023/930,7369/4898?

Given fractions are 7023/930,7369/4898

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 7023/930,7369/4898, numerators are 7023,7369

Denominators are 930,4898

The GCF of 7023,7369 is 1 .

LCM of 930,4898 is 73470.

The greatest common factor of 7023/930,7369/4898 = [GCF of 7023,7369]/[LCM of 930,4898]= 1/73470

Therefore, the GCF of 7023/930,7369/4898 is 1/73470.

Greatest Common Factor of 7023,7369

To find the highest common factor of 7023,7369, we have to find the factors of both numbers and list the highest common factor.

The factors of 7023 are 1, 3, 2341, 7023

The factors of 7369 are 1, 7369

The HCF of 7023,7369 is 1.

Lets's calculate GCF of 7023,7369

Greatest Common Factor (GCF) of 7023,7369 By Common Division

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

Greatest Common Factor of 7023,7369 By Matching Biggest Common Factor Method

Now, list down the factors of 7023

1,3,2341,7023

Now, list down the factors of 7369

1,7369

Greatest Common Factor

We found the factors 7023,7369 . The biggest common factor number is the GCF number.
So the greatest common factor 7023,7369 is 1.

Lets's calculate LCM of 930,4898

Lowest Common Multiple of 930,4898 using Common Division

2	930, 4898
31	465, 2449
	15, 79

∴ So the LCM of the given numbers is 2 x 31 x 15 x 79 = 73470

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/73470

Therefore, the GCF of Fractions 7023/930,7369/4898 is 1/73470

Least Common Multiple of 930,4898 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 930,4898 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(930,4898) = 62

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

GCF(930,4898) x common factors =62 x 1 = 62

LCM(930,4898) = ( 930 × 4898 ) / 62

LCM(930,4898) = 4555140 / 62

LCM(930,4898) = 73470

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FAQs on GCF of Fractions of 7023/930, 7369/4898

1. What is the HCF of 7023,7369?

The HCF of 7023,7369 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 7023/930, 7369/4898?

Answer: GCF of Numerators as per given numbers 7023/930, 7369/4898 is

GCF of Numerators i.e. for 7023,7369 is 1

LCM of denominators i.e. for 930,4898 is 73470.

Thus, GCF of Fractions is 1/73470.Finally, GCF of Fractions for 7023/930, 7369/4898 is 1/73470.