How to Find GCF of 7786/298, 2126/5008?

GCF of 7786/298, 2126/5008

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 7786/298, 2126/5008 i.e 2/746192 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7786/298, 2126/5008.

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 7786/298,2126/5008?

Given fractions are 7786/298,2126/5008

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 7786/298,2126/5008, numerators are 7786,2126

Denominators are 298,5008

The GCF of 7786,2126 is 2 .

LCM of 298,5008 is 746192.

The greatest common factor of 7786/298,2126/5008 = [GCF of 7786,2126]/[LCM of 298,5008]= 2/746192

Therefore, the GCF of 7786/298,2126/5008 is 2/746192.

Greatest Common Factor of 7786,2126

To find the highest common factor of 7786,2126, we have to find the factors of both numbers and list the highest common factor.

The factors of 7786 are 1, 2, 17, 34, 229, 458, 3893, 7786

The factors of 2126 are 1, 2, 1063, 2126

The HCF of 7786,2126 is 2.

Lets's calculate GCF of 7786,2126

Greatest Common Factor (GCF) of 7786,2126 By Common Division

2	7786, 2126
	3893, 1063

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

Greatest Common Factor of 7786,2126 By Matching Biggest Common Factor Method

Now, list down the factors of 7786

1,2,17,34,229,458,3893,7786

Now, list down the factors of 2126

1,2,1063,2126

Greatest Common Factor

We found the factors 7786,2126 . The biggest common factor number is the GCF number.
So the greatest common factor 7786,2126 is 2.

Lets's calculate LCM of 298,5008

Lowest Common Multiple of 298,5008 using Common Division

2	298, 5008
	149, 2504

∴ So the LCM of the given numbers is 2 x 149 x 2504 = 746192

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/746192

Therefore, the GCF of Fractions 7786/298,2126/5008 is 2/746192

Least Common Multiple of 298,5008 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 298,5008 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(298,5008) = 2

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

GCF(298,5008) x common factors =2 x 1 = 2

LCM(298,5008) = ( 298 × 5008 ) / 2

LCM(298,5008) = 1492384 / 2

LCM(298,5008) = 746192

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FAQs on GCF of Fractions of 7786/298, 2126/5008

1. What is the HCF of 7786,2126?

The HCF of 7786,2126 is 2

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 7786/298, 2126/5008?

Answer: GCF of Numerators as per given numbers 7786/298, 2126/5008 is

GCF of Numerators i.e. for 7786,2126 is 2

LCM of denominators i.e. for 298,5008 is 746192.

Thus, GCF of Fractions is 2/746192.Finally, GCF of Fractions for 7786/298, 2126/5008 is 2/746192.