How to Find GCF of 7468/279, 9582/5630?

GCF of 7468/279, 9582/5630

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 7468/279, 9582/5630 i.e 2/1570770 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7468/279, 9582/5630.

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 7468/279,9582/5630?

Given fractions are 7468/279,9582/5630

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 7468/279,9582/5630, numerators are 7468,9582

Denominators are 279,5630

The GCF of 7468,9582 is 2 .

LCM of 279,5630 is 1570770.

The greatest common factor of 7468/279,9582/5630 = [GCF of 7468,9582]/[LCM of 279,5630]= 2/1570770

Therefore, the GCF of 7468/279,9582/5630 is 2/1570770.

Greatest Common Factor of 7468,9582

To find the highest common factor of 7468,9582, we have to find the factors of both numbers and list the highest common factor.

The factors of 7468 are 1, 2, 4, 1867, 3734, 7468

The factors of 9582 are 1, 2, 3, 6, 1597, 3194, 4791, 9582

The HCF of 7468,9582 is 2.

Lets's calculate GCF of 7468,9582

Greatest Common Factor (GCF) of 7468,9582 By Common Division

2	7468, 9582
	3734, 4791

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 7468,9582 By Matching Biggest Common Factor Method

Now, list down the factors of 7468

1,2,4,1867,3734,7468

Now, list down the factors of 9582

1,2,3,6,1597,3194,4791,9582

Greatest Common Factor

We found the factors 7468,9582 . The biggest common factor number is the GCF number.
So the greatest common factor 7468,9582 is 2.

Lets's calculate LCM of 279,5630

Lowest Common Multiple of 279,5630 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1570770

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1570770

Therefore, the GCF of Fractions 7468/279,9582/5630 is 2/1570770

Least Common Multiple of 279,5630 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 279,5630 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(279,5630) = 1

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

GCF(279,5630) x common factors =1 x 1 = 1

LCM(279,5630) = ( 279 × 5630 ) / 1

LCM(279,5630) = 1570770 / 1

LCM(279,5630) = 1570770

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 7468/279, 9582/5630

1. What is the HCF of 7468,9582?

The HCF of 7468,9582 is 2

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 7468/279, 9582/5630?

Answer: GCF of Numerators as per given numbers 7468/279, 9582/5630 is

GCF of Numerators i.e. for 7468,9582 is 2

LCM of denominators i.e. for 279,5630 is 1570770.

Thus, GCF of Fractions is 2/1570770.Finally, GCF of Fractions for 7468/279, 9582/5630 is 2/1570770.