How to Find GCF of 1196/709, 1532/8126?

GCF of 1196/709, 1532/8126

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 1196/709, 1532/8126 i.e 4/5761334 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1196/709, 1532/8126.

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 1196/709,1532/8126?

Given fractions are 1196/709,1532/8126

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 1196/709,1532/8126, numerators are 1196,1532

Denominators are 709,8126

The GCF of 1196,1532 is 4 .

LCM of 709,8126 is 5761334.

The greatest common factor of 1196/709,1532/8126 = [GCF of 1196,1532]/[LCM of 709,8126]= 4/5761334

Therefore, the GCF of 1196/709,1532/8126 is 4/5761334.

Greatest Common Factor of 1196,1532

To find the highest common factor of 1196,1532, we have to find the factors of both numbers and list the highest common factor.

The factors of 1196 are 1, 2, 4, 13, 23, 26, 46, 52, 92, 299, 598, 1196

The factors of 1532 are 1, 2, 4, 383, 766, 1532

The HCF of 1196,1532 is 4.

Lets's calculate GCF of 1196,1532

Greatest Common Factor (GCF) of 1196,1532 By Common Division

2	1196, 1532
2	598, 766
	299, 383

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

Greatest Common Factor of 1196,1532 By Matching Biggest Common Factor Method

Now, list down the factors of 1196

1,2,4,13,23,26,46,52,92,299,598,1196

Now, list down the factors of 1532

1,2,4,383,766,1532

Greatest Common Factor

We found the factors 1196,1532 . The biggest common factor number is the GCF number.
So the greatest common factor 1196,1532 is 4.

Lets's calculate LCM of 709,8126

Lowest Common Multiple of 709,8126 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5761334

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/5761334

Therefore, the GCF of Fractions 1196/709,1532/8126 is 4/5761334

Least Common Multiple of 709,8126 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 709,8126 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(709,8126) = 1

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

GCF(709,8126) x common factors =1 x 1 = 1

LCM(709,8126) = ( 709 × 8126 ) / 1

LCM(709,8126) = 5761334 / 1

LCM(709,8126) = 5761334

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FAQs on GCF of Fractions of 1196/709, 1532/8126

1. What is the HCF of 1196,1532?

The HCF of 1196,1532 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 1196/709, 1532/8126?

Answer: GCF of Numerators as per given numbers 1196/709, 1532/8126 is

GCF of Numerators i.e. for 1196,1532 is 4

LCM of denominators i.e. for 709,8126 is 5761334.

Thus, GCF of Fractions is 4/5761334.Finally, GCF of Fractions for 1196/709, 1532/8126 is 4/5761334.