How to Find GCF of 1180/100, 4004/4115?

GCF of 1180/100, 4004/4115

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 1180/100, 4004/4115 i.e 4/82300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1180/100, 4004/4115.

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 1180/100,4004/4115?

Given fractions are 1180/100,4004/4115

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 1180/100,4004/4115, numerators are 1180,4004

Denominators are 100,4115

The GCF of 1180,4004 is 4 .

LCM of 100,4115 is 82300.

The greatest common factor of 1180/100,4004/4115 = [GCF of 1180,4004]/[LCM of 100,4115]= 4/82300

Therefore, the GCF of 1180/100,4004/4115 is 4/82300.

Greatest Common Factor of 1180,4004

To find the highest common factor of 1180,4004, we have to find the factors of both numbers and list the highest common factor.

The factors of 1180 are 1, 2, 4, 5, 10, 20, 59, 118, 236, 295, 590, 1180

The factors of 4004 are 1, 2, 4, 7, 11, 13, 14, 22, 26, 28, 44, 52, 77, 91, 143, 154, 182, 286, 308, 364, 572, 1001, 2002, 4004

The HCF of 1180,4004 is 4.

Lets's calculate GCF of 1180,4004

Greatest Common Factor (GCF) of 1180,4004 By Common Division

2	1180, 4004
2	590, 2002
	295, 1001

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

Greatest Common Factor of 1180,4004 By Matching Biggest Common Factor Method

Now, list down the factors of 1180

1,2,4,5,10,20,59,118,236,295,590,1180

Now, list down the factors of 4004

1,2,4,7,11,13,14,22,26,28,44,52,77,91,143,154,182,286,308,364,572,1001,2002,4004

Greatest Common Factor

We found the factors 1180,4004 . The biggest common factor number is the GCF number.
So the greatest common factor 1180,4004 is 4.

Lets's calculate LCM of 100,4115

Lowest Common Multiple of 100,4115 using Common Division

5	100, 4115
	20, 823

∴ So the LCM of the given numbers is 5 x 20 x 823 = 82300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/82300

Therefore, the GCF of Fractions 1180/100,4004/4115 is 4/82300

Least Common Multiple of 100,4115 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 100,4115 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(100,4115) = 5

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

GCF(100,4115) x common factors =5 x 1 = 5

LCM(100,4115) = ( 100 × 4115 ) / 5

LCM(100,4115) = 411500 / 5

LCM(100,4115) = 82300

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FAQs on GCF of Fractions of 1180/100, 4004/4115

1. What is the HCF of 1180,4004?

The HCF of 1180,4004 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 1180/100, 4004/4115?

Answer: GCF of Numerators as per given numbers 1180/100, 4004/4115 is

GCF of Numerators i.e. for 1180,4004 is 4

LCM of denominators i.e. for 100,4115 is 82300.

Thus, GCF of Fractions is 4/82300.Finally, GCF of Fractions for 1180/100, 4004/4115 is 4/82300.