How to Find GCF of 350/236, 298/540?

GCF of 350/236, 298/540

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 350/236, 298/540 i.e 2/31860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 350/236, 298/540.

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 350/236,298/540?

Given fractions are 350/236,298/540

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 350/236,298/540, numerators are 350,298

Denominators are 236,540

The GCF of 350,298 is 2 .

LCM of 236,540 is 31860.

The greatest common factor of 350/236,298/540 = [GCF of 350,298]/[LCM of 236,540]= 2/31860

Therefore, the GCF of 350/236,298/540 is 2/31860.

Greatest Common Factor of 350,298

To find the highest common factor of 350,298, we have to find the factors of both numbers and list the highest common factor.

The factors of 350 are 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

The factors of 298 are 1, 2, 149, 298

The HCF of 350,298 is 2.

Lets's calculate GCF of 350,298

Greatest Common Factor (GCF) of 350,298 By Common Division

2	350, 298
	175, 149

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

Greatest Common Factor of 350,298 By Matching Biggest Common Factor Method

Now, list down the factors of 350

1,2,5,7,10,14,25,35,50,70,175,350

Now, list down the factors of 298

1,2,149,298

Greatest Common Factor

We found the factors 350,298 . The biggest common factor number is the GCF number.
So the greatest common factor 350,298 is 2.

Lets's calculate LCM of 236,540

Lowest Common Multiple of 236,540 using Common Division

2	236, 540
2	118, 270
	59, 135

∴ So the LCM of the given numbers is 2 x 2 x 59 x 135 = 31860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/31860

Therefore, the GCF of Fractions 350/236,298/540 is 2/31860

Least Common Multiple of 236,540 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 236,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(236,540) = 4

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

GCF(236,540) x common factors =4 x 1 = 4

LCM(236,540) = ( 236 × 540 ) / 4

LCM(236,540) = 127440 / 4

LCM(236,540) = 31860

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FAQs on GCF of Fractions of 350/236, 298/540

1. What is the HCF of 350,298?

The HCF of 350,298 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 350/236, 298/540?

Answer: GCF of Numerators as per given numbers 350/236, 298/540 is

GCF of Numerators i.e. for 350,298 is 2

LCM of denominators i.e. for 236,540 is 31860.

Thus, GCF of Fractions is 2/31860.Finally, GCF of Fractions for 350/236, 298/540 is 2/31860.