How to Find GCF of 3738/924, 1039/8152?

GCF of 3738/924, 1039/8152

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 3738/924, 1039/8152 i.e 1/1883112 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3738/924, 1039/8152.

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 3738/924,1039/8152?

Given fractions are 3738/924,1039/8152

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 3738/924,1039/8152, numerators are 3738,1039

Denominators are 924,8152

The GCF of 3738,1039 is 1 .

LCM of 924,8152 is 1883112.

The greatest common factor of 3738/924,1039/8152 = [GCF of 3738,1039]/[LCM of 924,8152]= 1/1883112

Therefore, the GCF of 3738/924,1039/8152 is 1/1883112.

Greatest Common Factor of 3738,1039

To find the highest common factor of 3738,1039, we have to find the factors of both numbers and list the highest common factor.

The factors of 3738 are 1, 2, 3, 6, 7, 14, 21, 42, 89, 178, 267, 534, 623, 1246, 1869, 3738

The factors of 1039 are 1, 1039

The HCF of 3738,1039 is 1.

Lets's calculate GCF of 3738,1039

Greatest Common Factor (GCF) of 3738,1039 By Common Division

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

Greatest Common Factor of 3738,1039 By Matching Biggest Common Factor Method

Now, list down the factors of 3738

1,2,3,6,7,14,21,42,89,178,267,534,623,1246,1869,3738

Now, list down the factors of 1039

1,1039

Greatest Common Factor

We found the factors 3738,1039 . The biggest common factor number is the GCF number.
So the greatest common factor 3738,1039 is 1.

Lets's calculate LCM of 924,8152

Lowest Common Multiple of 924,8152 using Common Division

2	924, 8152
2	462, 4076
	231, 2038

∴ So the LCM of the given numbers is 2 x 2 x 231 x 2038 = 1883112

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1883112

Therefore, the GCF of Fractions 3738/924,1039/8152 is 1/1883112

Least Common Multiple of 924,8152 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 924,8152 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(924,8152) = 4

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

GCF(924,8152) x common factors =4 x 1 = 4

LCM(924,8152) = ( 924 × 8152 ) / 4

LCM(924,8152) = 7532448 / 4

LCM(924,8152) = 1883112

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FAQs on GCF of Fractions of 3738/924, 1039/8152

1. What is the HCF of 3738,1039?

The HCF of 3738,1039 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 3738/924, 1039/8152?

Answer: GCF of Numerators as per given numbers 3738/924, 1039/8152 is

GCF of Numerators i.e. for 3738,1039 is 1

LCM of denominators i.e. for 924,8152 is 1883112.

Thus, GCF of Fractions is 1/1883112.Finally, GCF of Fractions for 3738/924, 1039/8152 is 1/1883112.