How to Find GCF of 1598/392, 6260/5961?

GCF of 1598/392, 6260/5961

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 1598/392, 6260/5961 i.e 2/2336712 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1598/392, 6260/5961.

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 1598/392,6260/5961?

Given fractions are 1598/392,6260/5961

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 1598/392,6260/5961, numerators are 1598,6260

Denominators are 392,5961

The GCF of 1598,6260 is 2 .

LCM of 392,5961 is 2336712.

The greatest common factor of 1598/392,6260/5961 = [GCF of 1598,6260]/[LCM of 392,5961]= 2/2336712

Therefore, the GCF of 1598/392,6260/5961 is 2/2336712.

Greatest Common Factor of 1598,6260

To find the highest common factor of 1598,6260, we have to find the factors of both numbers and list the highest common factor.

The factors of 1598 are 1, 2, 17, 34, 47, 94, 799, 1598

The factors of 6260 are 1, 2, 4, 5, 10, 20, 313, 626, 1252, 1565, 3130, 6260

The HCF of 1598,6260 is 2.

Lets's calculate GCF of 1598,6260

Greatest Common Factor (GCF) of 1598,6260 By Common Division

2	1598, 6260
	799, 3130

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

Greatest Common Factor of 1598,6260 By Matching Biggest Common Factor Method

Now, list down the factors of 1598

1,2,17,34,47,94,799,1598

Now, list down the factors of 6260

1,2,4,5,10,20,313,626,1252,1565,3130,6260

Greatest Common Factor

We found the factors 1598,6260 . The biggest common factor number is the GCF number.
So the greatest common factor 1598,6260 is 2.

Lets's calculate LCM of 392,5961

Lowest Common Multiple of 392,5961 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2336712

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2336712

Therefore, the GCF of Fractions 1598/392,6260/5961 is 2/2336712

Least Common Multiple of 392,5961 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 392,5961 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(392,5961) = 1

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

GCF(392,5961) x common factors =1 x 1 = 1

LCM(392,5961) = ( 392 × 5961 ) / 1

LCM(392,5961) = 2336712 / 1

LCM(392,5961) = 2336712

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FAQs on GCF of Fractions of 1598/392, 6260/5961

1. What is the HCF of 1598,6260?

The HCF of 1598,6260 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 1598/392, 6260/5961?

Answer: GCF of Numerators as per given numbers 1598/392, 6260/5961 is

GCF of Numerators i.e. for 1598,6260 is 2

LCM of denominators i.e. for 392,5961 is 2336712.

Thus, GCF of Fractions is 2/2336712.Finally, GCF of Fractions for 1598/392, 6260/5961 is 2/2336712.