How to Find GCF of 4370/146, 6009/1796?

GCF of 4370/146, 6009/1796

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 4370/146, 6009/1796 i.e 1/131108 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4370/146, 6009/1796.

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 4370/146,6009/1796?

Given fractions are 4370/146,6009/1796

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 4370/146,6009/1796, numerators are 4370,6009

Denominators are 146,1796

The GCF of 4370,6009 is 1 .

LCM of 146,1796 is 131108.

The greatest common factor of 4370/146,6009/1796 = [GCF of 4370,6009]/[LCM of 146,1796]= 1/131108

Therefore, the GCF of 4370/146,6009/1796 is 1/131108.

Greatest Common Factor of 4370,6009

To find the highest common factor of 4370,6009, we have to find the factors of both numbers and list the highest common factor.

The factors of 4370 are 1, 2, 5, 10, 19, 23, 38, 46, 95, 115, 190, 230, 437, 874, 2185, 4370

The factors of 6009 are 1, 3, 2003, 6009

The HCF of 4370,6009 is 1.

Lets's calculate GCF of 4370,6009

Greatest Common Factor (GCF) of 4370,6009 By Common Division

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

Greatest Common Factor of 4370,6009 By Matching Biggest Common Factor Method

Now, list down the factors of 4370

1,2,5,10,19,23,38,46,95,115,190,230,437,874,2185,4370

Now, list down the factors of 6009

1,3,2003,6009

Greatest Common Factor

We found the factors 4370,6009 . The biggest common factor number is the GCF number.
So the greatest common factor 4370,6009 is 1.

Lets's calculate LCM of 146,1796

Lowest Common Multiple of 146,1796 using Common Division

2	146, 1796
	73, 898

∴ So the LCM of the given numbers is 2 x 73 x 898 = 131108

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/131108

Therefore, the GCF of Fractions 4370/146,6009/1796 is 1/131108

Least Common Multiple of 146,1796 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 146,1796 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(146,1796) = 2

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

GCF(146,1796) x common factors =2 x 1 = 2

LCM(146,1796) = ( 146 × 1796 ) / 2

LCM(146,1796) = 262216 / 2

LCM(146,1796) = 131108

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FAQs on GCF of Fractions of 4370/146, 6009/1796

1. What is the HCF of 4370,6009?

The HCF of 4370,6009 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 4370/146, 6009/1796?

Answer: GCF of Numerators as per given numbers 4370/146, 6009/1796 is

GCF of Numerators i.e. for 4370,6009 is 1

LCM of denominators i.e. for 146,1796 is 131108.

Thus, GCF of Fractions is 1/131108.Finally, GCF of Fractions for 4370/146, 6009/1796 is 1/131108.