How to Find GCF of 8798/435, 8978/2242?

GCF of 8798/435, 8978/2242

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 8798/435, 8978/2242 i.e 2/975270 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8798/435, 8978/2242.

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 8798/435,8978/2242?

Given fractions are 8798/435,8978/2242

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 8798/435,8978/2242, numerators are 8798,8978

Denominators are 435,2242

The GCF of 8798,8978 is 2 .

LCM of 435,2242 is 975270.

The greatest common factor of 8798/435,8978/2242 = [GCF of 8798,8978]/[LCM of 435,2242]= 2/975270

Therefore, the GCF of 8798/435,8978/2242 is 2/975270.

Greatest Common Factor of 8798,8978

To find the highest common factor of 8798,8978, we have to find the factors of both numbers and list the highest common factor.

The factors of 8798 are 1, 2, 53, 83, 106, 166, 4399, 8798

The factors of 8978 are 1, 2, 67, 134, 4489, 8978

The HCF of 8798,8978 is 2.

Lets's calculate GCF of 8798,8978

Greatest Common Factor (GCF) of 8798,8978 By Common Division

2	8798, 8978
	4399, 4489

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

Greatest Common Factor of 8798,8978 By Matching Biggest Common Factor Method

Now, list down the factors of 8798

1,2,53,83,106,166,4399,8798

Now, list down the factors of 8978

1,2,67,134,4489,8978

Greatest Common Factor

We found the factors 8798,8978 . The biggest common factor number is the GCF number.
So the greatest common factor 8798,8978 is 2.

Lets's calculate LCM of 435,2242

Lowest Common Multiple of 435,2242 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 975270

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/975270

Therefore, the GCF of Fractions 8798/435,8978/2242 is 2/975270

Least Common Multiple of 435,2242 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 435,2242 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(435,2242) = 1

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

GCF(435,2242) x common factors =1 x 1 = 1

LCM(435,2242) = ( 435 × 2242 ) / 1

LCM(435,2242) = 975270 / 1

LCM(435,2242) = 975270

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FAQs on GCF of Fractions of 8798/435, 8978/2242

1. What is the HCF of 8798,8978?

The HCF of 8798,8978 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 8798/435, 8978/2242?

Answer: GCF of Numerators as per given numbers 8798/435, 8978/2242 is

GCF of Numerators i.e. for 8798,8978 is 2

LCM of denominators i.e. for 435,2242 is 975270.

Thus, GCF of Fractions is 2/975270.Finally, GCF of Fractions for 8798/435, 8978/2242 is 2/975270.