How to Find GCF of 372/266, 144/429?

GCF of 372/266, 144/429

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 372/266, 144/429 i.e 12/114114 easily. The following is the detailed procedure to determine the greatest common factor of fractions 372/266, 144/429.

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 372/266,144/429?

Given fractions are 372/266,144/429

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 372/266,144/429, numerators are 372,144

Denominators are 266,429

The GCF of 372,144 is 12 .

LCM of 266,429 is 114114.

The greatest common factor of 372/266,144/429 = [GCF of 372,144]/[LCM of 266,429]= 12/114114

Therefore, the GCF of 372/266,144/429 is 12/114114.

Greatest Common Factor of 372,144

To find the highest common factor of 372,144, we have to find the factors of both numbers and list the highest common factor.

The factors of 372 are 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

The factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

The HCF of 372,144 is 12.

Lets's calculate GCF of 372,144

Greatest Common Factor (GCF) of 372,144 By Common Division

2	372, 144
2	186, 72
3	93, 36
	31, 12

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 372,144 By Matching Biggest Common Factor Method

Now, list down the factors of 372

1,2,3,4,6,12,31,62,93,124,186,372

Now, list down the factors of 144

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Greatest Common Factor

We found the factors 372,144 . The biggest common factor number is the GCF number.
So the greatest common factor 372,144 is 12.

Lets's calculate LCM of 266,429

Lowest Common Multiple of 266,429 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 114114

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/114114

Therefore, the GCF of Fractions 372/266,144/429 is 12/114114

Least Common Multiple of 266,429 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 266,429 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(266,429) = 1

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

GCF(266,429) x common factors =1 x 1 = 1

LCM(266,429) = ( 266 × 429 ) / 1

LCM(266,429) = 114114 / 1

LCM(266,429) = 114114

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FAQs on GCF of Fractions of 372/266, 144/429

1. What is the HCF of 372,144?

The HCF of 372,144 is 12

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 372/266, 144/429?

Answer: GCF of Numerators as per given numbers 372/266, 144/429 is

GCF of Numerators i.e. for 372,144 is 12

LCM of denominators i.e. for 266,429 is 114114.

Thus, GCF of Fractions is 12/114114.Finally, GCF of Fractions for 372/266, 144/429 is 12/114114.