How to Find GCF of 548/776, 8026/4210?

GCF of 548/776, 8026/4210

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 548/776, 8026/4210 i.e 2/1633480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 548/776, 8026/4210.

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 548/776,8026/4210?

Given fractions are 548/776,8026/4210

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 548/776,8026/4210, numerators are 548,8026

Denominators are 776,4210

The GCF of 548,8026 is 2 .

LCM of 776,4210 is 1633480.

The greatest common factor of 548/776,8026/4210 = [GCF of 548,8026]/[LCM of 776,4210]= 2/1633480

Therefore, the GCF of 548/776,8026/4210 is 2/1633480.

Greatest Common Factor of 548,8026

To find the highest common factor of 548,8026, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 8026 are 1, 2, 4013, 8026

The HCF of 548,8026 is 2.

Lets's calculate GCF of 548,8026

Greatest Common Factor (GCF) of 548,8026 By Common Division

2	548, 8026
	274, 4013

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

Greatest Common Factor of 548,8026 By Matching Biggest Common Factor Method

Now, list down the factors of 548

1,2,4,137,274,548

Now, list down the factors of 8026

1,2,4013,8026

Greatest Common Factor

We found the factors 548,8026 . The biggest common factor number is the GCF number.
So the greatest common factor 548,8026 is 2.

Lets's calculate LCM of 776,4210

Lowest Common Multiple of 776,4210 using Common Division

2	776, 4210
	388, 2105

∴ So the LCM of the given numbers is 2 x 388 x 2105 = 1633480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1633480

Therefore, the GCF of Fractions 548/776,8026/4210 is 2/1633480

Least Common Multiple of 776,4210 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 776,4210 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(776,4210) = 2

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

GCF(776,4210) x common factors =2 x 1 = 2

LCM(776,4210) = ( 776 × 4210 ) / 2

LCM(776,4210) = 3266960 / 2

LCM(776,4210) = 1633480

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FAQs on GCF of Fractions of 548/776, 8026/4210

1. What is the HCF of 548,8026?

The HCF of 548,8026 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 548/776, 8026/4210?

Answer: GCF of Numerators as per given numbers 548/776, 8026/4210 is

GCF of Numerators i.e. for 548,8026 is 2

LCM of denominators i.e. for 776,4210 is 1633480.

Thus, GCF of Fractions is 2/1633480.Finally, GCF of Fractions for 548/776, 8026/4210 is 2/1633480.