How to Find GCF of 7796/604, 5296/6244?

GCF of 7796/604, 5296/6244

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 7796/604, 5296/6244 i.e 4/942844 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7796/604, 5296/6244.

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 7796/604,5296/6244?

Given fractions are 7796/604,5296/6244

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 7796/604,5296/6244, numerators are 7796,5296

Denominators are 604,6244

The GCF of 7796,5296 is 4 .

LCM of 604,6244 is 942844.

The greatest common factor of 7796/604,5296/6244 = [GCF of 7796,5296]/[LCM of 604,6244]= 4/942844

Therefore, the GCF of 7796/604,5296/6244 is 4/942844.

Greatest Common Factor of 7796,5296

To find the highest common factor of 7796,5296, we have to find the factors of both numbers and list the highest common factor.

The factors of 7796 are 1, 2, 4, 1949, 3898, 7796

The factors of 5296 are 1, 2, 4, 8, 16, 331, 662, 1324, 2648, 5296

The HCF of 7796,5296 is 4.

Lets's calculate GCF of 7796,5296

Greatest Common Factor (GCF) of 7796,5296 By Common Division

2	7796, 5296
2	3898, 2648
	1949, 1324

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

Greatest Common Factor of 7796,5296 By Matching Biggest Common Factor Method

Now, list down the factors of 7796

1,2,4,1949,3898,7796

Now, list down the factors of 5296

1,2,4,8,16,331,662,1324,2648,5296

Greatest Common Factor

We found the factors 7796,5296 . The biggest common factor number is the GCF number.
So the greatest common factor 7796,5296 is 4.

Lets's calculate LCM of 604,6244

Lowest Common Multiple of 604,6244 using Common Division

2	604, 6244
2	302, 3122
	151, 1561

∴ So the LCM of the given numbers is 2 x 2 x 151 x 1561 = 942844

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/942844

Therefore, the GCF of Fractions 7796/604,5296/6244 is 4/942844

Least Common Multiple of 604,6244 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 604,6244 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(604,6244) = 4

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

GCF(604,6244) x common factors =4 x 1 = 4

LCM(604,6244) = ( 604 × 6244 ) / 4

LCM(604,6244) = 3771376 / 4

LCM(604,6244) = 942844

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FAQs on GCF of Fractions of 7796/604, 5296/6244

1. What is the HCF of 7796,5296?

The HCF of 7796,5296 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 7796/604, 5296/6244?

Answer: GCF of Numerators as per given numbers 7796/604, 5296/6244 is

GCF of Numerators i.e. for 7796,5296 is 4

LCM of denominators i.e. for 604,6244 is 942844.

Thus, GCF of Fractions is 4/942844.Finally, GCF of Fractions for 7796/604, 5296/6244 is 4/942844.