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GCF of 442/28, 680/4808

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 442/28, 680/4808 i.e 34/33656 easily. The following is the detailed procedure to determine the greatest common factor of fractions 442/28, 680/4808.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 442/28,680/4808?

Given fractions are 442/28,680/4808

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 442/28,680/4808, numerators are 442,680

Denominators are 28,4808

The GCF of 442,680 is 34 .

LCM of 28,4808 is 33656.

The greatest common factor of 442/28,680/4808 = [GCF of 442,680]/[LCM of 28,4808]= 34/33656

Therefore, the GCF of 442/28,680/4808 is 34/33656.

Greatest Common Factor of 442,680

To find the highest common factor of 442,680, we have to find the factors of both numbers and list the highest common factor.

The factors of 442 are 1, 2, 13, 17, 26, 34, 221, 442

The factors of 680 are 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

The HCF of 442,680 is 34.

Lets's calculate GCF of 442,680

Greatest Common Factor (GCF) of 442,680 By Common Division

2 442, 680
17 221, 340
13, 20

∴ So the GCF of the given numbers is 2 x 17 = 34

Greatest Common Factor of 442,680 By Matching Biggest Common Factor Method

Greatest Common Factor of 442,680 By Matching Biggest Common Factor Method

Now, list down the factors of 442

:

1,2,13,17,26,34,221,442

Now, list down the factors of 680

:

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Greatest Common Factor

We found the factors 442,680 . The biggest common factor number is the GCF number.
So the greatest common factor 442,680 is 34.


Lets's calculate LCM of 28,4808

Lowest Common Multiple of 28,4808 using Common Division

2 28, 4808
2 14, 2404
7, 1202

∴ So the LCM of the given numbers is 2 x 2 x 7 x 1202 = 33656

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 34/33656

Therefore, the GCF of Fractions 442/28,680/4808 is 34/33656

Least Common Multiple of 28,4808 with GCF Formula

Least Common Multiple of 28,4808 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 28,4808 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,4808) = 4

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

GCF(28,4808) x common factors =4 x 1 = 4

LCM(28,4808) = ( 28 × 4808 ) / 4

LCM(28,4808) = 134624 / 4

LCM(28,4808) = 33656


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 442/28, 680/4808

1. What is the HCF of 442,680?

The HCF of 442,680 is 34

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 442/28, 680/4808?

Answer: GCF of Numerators as per given numbers 442/28, 680/4808 is

GCF of Numerators i.e. for 442,680 is 34

LCM of denominators i.e. for 28,4808 is 33656.

Thus, GCF of Fractions is 34/33656.Finally, GCF of Fractions for 442/28, 680/4808 is 34/33656.