How to Find GCF of 548/846, 548/143?

GCF of 548/846, 548/143

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 548/846, 548/143 i.e 548/120978 easily. The following is the detailed procedure to determine the greatest common factor of fractions 548/846, 548/143.

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 548/846,548/143?

Given fractions are 548/846,548/143

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 548/846,548/143, numerators are 548,548

Denominators are 846,143

The GCF of 548,548 is 548 .

LCM of 846,143 is 120978.

The greatest common factor of 548/846,548/143 = [GCF of 548,548]/[LCM of 846,143]= 548/120978

Therefore, the GCF of 548/846,548/143 is 548/120978.

Greatest Common Factor of 548,548

To find the highest common factor of 548,548, 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 HCF of 548,548 is 548.

Lets's calculate GCF of 548,548

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

2	548, 548
2	274, 274
137	137, 137
	1, 1

∴ So the GCF of the given numbers is 2 x 2 x 137 = 548

Greatest Common Factor of 548,548 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 548

1,2,4,137,274,548

Greatest Common Factor

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

Lets's calculate LCM of 846,143

Lowest Common Multiple of 846,143 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 120978

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 548/120978

Therefore, the GCF of Fractions 548/846,548/143 is 548/120978

Least Common Multiple of 846,143 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 846,143 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(846,143) = 1

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

GCF(846,143) x common factors =1 x 1 = 1

LCM(846,143) = ( 846 × 143 ) / 1

LCM(846,143) = 120978 / 1

LCM(846,143) = 120978

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 548/846, 548/143

1. What is the HCF of 548,548?

The HCF of 548,548 is 548

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 548/846, 548/143?

Answer: GCF of Numerators as per given numbers 548/846, 548/143 is

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

LCM of denominators i.e. for 846,143 is 120978.

Thus, GCF of Fractions is 548/120978.Finally, GCF of Fractions for 548/846, 548/143 is 548/120978.