How to Find GCF of 1096/526, 7879/7430?

GCF of 1096/526, 7879/7430

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 1096/526, 7879/7430 i.e 1/1954090 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1096/526, 7879/7430.

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 1096/526,7879/7430?

Given fractions are 1096/526,7879/7430

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 1096/526,7879/7430, numerators are 1096,7879

Denominators are 526,7430

The GCF of 1096,7879 is 1 .

LCM of 526,7430 is 1954090.

The greatest common factor of 1096/526,7879/7430 = [GCF of 1096,7879]/[LCM of 526,7430]= 1/1954090

Therefore, the GCF of 1096/526,7879/7430 is 1/1954090.

Greatest Common Factor of 1096,7879

To find the highest common factor of 1096,7879, we have to find the factors of both numbers and list the highest common factor.

The factors of 1096 are 1, 2, 4, 8, 137, 274, 548, 1096

The factors of 7879 are 1, 7879

The HCF of 1096,7879 is 1.

Lets's calculate GCF of 1096,7879

Greatest Common Factor (GCF) of 1096,7879 By Common Division

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

Greatest Common Factor of 1096,7879 By Matching Biggest Common Factor Method

Now, list down the factors of 1096

1,2,4,8,137,274,548,1096

Now, list down the factors of 7879

1,7879

Greatest Common Factor

We found the factors 1096,7879 . The biggest common factor number is the GCF number.
So the greatest common factor 1096,7879 is 1.

Lets's calculate LCM of 526,7430

Lowest Common Multiple of 526,7430 using Common Division

2	526, 7430
	263, 3715

∴ So the LCM of the given numbers is 2 x 263 x 3715 = 1954090

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1954090

Therefore, the GCF of Fractions 1096/526,7879/7430 is 1/1954090

Least Common Multiple of 526,7430 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 526,7430 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(526,7430) = 2

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

GCF(526,7430) x common factors =2 x 1 = 2

LCM(526,7430) = ( 526 × 7430 ) / 2

LCM(526,7430) = 3908180 / 2

LCM(526,7430) = 1954090

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FAQs on GCF of Fractions of 1096/526, 7879/7430

1. What is the HCF of 1096,7879?

The HCF of 1096,7879 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 1096/526, 7879/7430?

Answer: GCF of Numerators as per given numbers 1096/526, 7879/7430 is

GCF of Numerators i.e. for 1096,7879 is 1

LCM of denominators i.e. for 526,7430 is 1954090.

Thus, GCF of Fractions is 1/1954090.Finally, GCF of Fractions for 1096/526, 7879/7430 is 1/1954090.