How to Find GCF of 8860/398, 7404/3761?

GCF of 8860/398, 7404/3761

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 8860/398, 7404/3761 i.e 4/1496878 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8860/398, 7404/3761.

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 8860/398,7404/3761?

Given fractions are 8860/398,7404/3761

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 8860/398,7404/3761, numerators are 8860,7404

Denominators are 398,3761

The GCF of 8860,7404 is 4 .

LCM of 398,3761 is 1496878.

The greatest common factor of 8860/398,7404/3761 = [GCF of 8860,7404]/[LCM of 398,3761]= 4/1496878

Therefore, the GCF of 8860/398,7404/3761 is 4/1496878.

Greatest Common Factor of 8860,7404

To find the highest common factor of 8860,7404, we have to find the factors of both numbers and list the highest common factor.

The factors of 8860 are 1, 2, 4, 5, 10, 20, 443, 886, 1772, 2215, 4430, 8860

The factors of 7404 are 1, 2, 3, 4, 6, 12, 617, 1234, 1851, 2468, 3702, 7404

The HCF of 8860,7404 is 4.

Lets's calculate GCF of 8860,7404

Greatest Common Factor (GCF) of 8860,7404 By Common Division

2	8860, 7404
2	4430, 3702
	2215, 1851

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 8860,7404 By Matching Biggest Common Factor Method

Now, list down the factors of 8860

1,2,4,5,10,20,443,886,1772,2215,4430,8860

Now, list down the factors of 7404

1,2,3,4,6,12,617,1234,1851,2468,3702,7404

Greatest Common Factor

We found the factors 8860,7404 . The biggest common factor number is the GCF number.
So the greatest common factor 8860,7404 is 4.

Lets's calculate LCM of 398,3761

Lowest Common Multiple of 398,3761 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1496878

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1496878

Therefore, the GCF of Fractions 8860/398,7404/3761 is 4/1496878

Least Common Multiple of 398,3761 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 398,3761 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(398,3761) = 1

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

GCF(398,3761) x common factors =1 x 1 = 1

LCM(398,3761) = ( 398 × 3761 ) / 1

LCM(398,3761) = 1496878 / 1

LCM(398,3761) = 1496878

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FAQs on GCF of Fractions of 8860/398, 7404/3761

1. What is the HCF of 8860,7404?

The HCF of 8860,7404 is 4

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 8860/398, 7404/3761?

Answer: GCF of Numerators as per given numbers 8860/398, 7404/3761 is

GCF of Numerators i.e. for 8860,7404 is 4

LCM of denominators i.e. for 398,3761 is 1496878.

Thus, GCF of Fractions is 4/1496878.Finally, GCF of Fractions for 8860/398, 7404/3761 is 4/1496878.