How to Find GCF of 350/224, 874/520?

GCF of 350/224, 874/520

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 350/224, 874/520 i.e 2/14560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 350/224, 874/520.

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 350/224,874/520?

Given fractions are 350/224,874/520

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 350/224,874/520, numerators are 350,874

Denominators are 224,520

The GCF of 350,874 is 2 .

LCM of 224,520 is 14560.

The greatest common factor of 350/224,874/520 = [GCF of 350,874]/[LCM of 224,520]= 2/14560

Therefore, the GCF of 350/224,874/520 is 2/14560.

Greatest Common Factor of 350,874

To find the highest common factor of 350,874, 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 874 are 1, 2, 19, 23, 38, 46, 437, 874

The HCF of 350,874 is 2.

Lets's calculate GCF of 350,874

Greatest Common Factor (GCF) of 350,874 By Common Division

2	350, 874
	175, 437

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

Greatest Common Factor of 350,874 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 874

1,2,19,23,38,46,437,874

Greatest Common Factor

We found the factors 350,874 . The biggest common factor number is the GCF number.
So the greatest common factor 350,874 is 2.

Lets's calculate LCM of 224,520

Lowest Common Multiple of 224,520 using Common Division

2	224, 520
2	112, 260
2	56, 130
	28, 65

∴ So the LCM of the given numbers is 2 x 2 x 2 x 28 x 65 = 14560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/14560

Therefore, the GCF of Fractions 350/224,874/520 is 2/14560

Least Common Multiple of 224,520 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 224,520 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(224,520) = 8

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

GCF(224,520) x common factors =8 x 1 = 8

LCM(224,520) = ( 224 × 520 ) / 8

LCM(224,520) = 116480 / 8

LCM(224,520) = 14560

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FAQs on GCF of Fractions of 350/224, 874/520

1. What is the HCF of 350,874?

The HCF of 350,874 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 350/224, 874/520?

Answer: GCF of Numerators as per given numbers 350/224, 874/520 is

GCF of Numerators i.e. for 350,874 is 2

LCM of denominators i.e. for 224,520 is 14560.

Thus, GCF of Fractions is 2/14560.Finally, GCF of Fractions for 350/224, 874/520 is 2/14560.