How to Find GCF of 3978/185, 3263/126?

GCF of 3978/185, 3263/126

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 3978/185, 3263/126 i.e 13/23310 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3978/185, 3263/126.

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 3978/185,3263/126?

Given fractions are 3978/185,3263/126

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 3978/185,3263/126, numerators are 3978,3263

Denominators are 185,126

The GCF of 3978,3263 is 13 .

LCM of 185,126 is 23310.

The greatest common factor of 3978/185,3263/126 = [GCF of 3978,3263]/[LCM of 185,126]= 13/23310

Therefore, the GCF of 3978/185,3263/126 is 13/23310.

Greatest Common Factor of 3978,3263

To find the highest common factor of 3978,3263, we have to find the factors of both numbers and list the highest common factor.

The factors of 3978 are 1, 2, 3, 6, 9, 13, 17, 18, 26, 34, 39, 51, 78, 102, 117, 153, 221, 234, 306, 442, 663, 1326, 1989, 3978

The factors of 3263 are 1, 13, 251, 3263

The HCF of 3978,3263 is 13.

Lets's calculate GCF of 3978,3263

Greatest Common Factor (GCF) of 3978,3263 By Common Division

13	3978, 3263
	306, 251

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 3978,3263 By Matching Biggest Common Factor Method

Now, list down the factors of 3978

1,2,3,6,9,13,17,18,26,34,39,51,78,102,117,153,221,234,306,442,663,1326,1989,3978

Now, list down the factors of 3263

1,13,251,3263

Greatest Common Factor

We found the factors 3978,3263 . The biggest common factor number is the GCF number.
So the greatest common factor 3978,3263 is 13.

Lets's calculate LCM of 185,126

Lowest Common Multiple of 185,126 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 23310

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/23310

Therefore, the GCF of Fractions 3978/185,3263/126 is 13/23310

Least Common Multiple of 185,126 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 185,126 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(185,126) = 1

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

GCF(185,126) x common factors =1 x 1 = 1

LCM(185,126) = ( 185 × 126 ) / 1

LCM(185,126) = 23310 / 1

LCM(185,126) = 23310

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FAQs on GCF of Fractions of 3978/185, 3263/126

1. What is the HCF of 3978,3263?

The HCF of 3978,3263 is 13

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 3978/185, 3263/126?

Answer: GCF of Numerators as per given numbers 3978/185, 3263/126 is

GCF of Numerators i.e. for 3978,3263 is 13

LCM of denominators i.e. for 185,126 is 23310.

Thus, GCF of Fractions is 13/23310.Finally, GCF of Fractions for 3978/185, 3263/126 is 13/23310.