How to Find GCF of 6978/488, 3226/1299?

GCF of 6978/488, 3226/1299

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 6978/488, 3226/1299 i.e 2/633912 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6978/488, 3226/1299.

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 6978/488,3226/1299?

Given fractions are 6978/488,3226/1299

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 6978/488,3226/1299, numerators are 6978,3226

Denominators are 488,1299

The GCF of 6978,3226 is 2 .

LCM of 488,1299 is 633912.

The greatest common factor of 6978/488,3226/1299 = [GCF of 6978,3226]/[LCM of 488,1299]= 2/633912

Therefore, the GCF of 6978/488,3226/1299 is 2/633912.

Greatest Common Factor of 6978,3226

To find the highest common factor of 6978,3226, we have to find the factors of both numbers and list the highest common factor.

The factors of 6978 are 1, 2, 3, 6, 1163, 2326, 3489, 6978

The factors of 3226 are 1, 2, 1613, 3226

The HCF of 6978,3226 is 2.

Lets's calculate GCF of 6978,3226

Greatest Common Factor (GCF) of 6978,3226 By Common Division

2	6978, 3226
	3489, 1613

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

Greatest Common Factor of 6978,3226 By Matching Biggest Common Factor Method

Now, list down the factors of 6978

1,2,3,6,1163,2326,3489,6978

Now, list down the factors of 3226

1,2,1613,3226

Greatest Common Factor

We found the factors 6978,3226 . The biggest common factor number is the GCF number.
So the greatest common factor 6978,3226 is 2.

Lets's calculate LCM of 488,1299

Lowest Common Multiple of 488,1299 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 633912

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/633912

Therefore, the GCF of Fractions 6978/488,3226/1299 is 2/633912

Least Common Multiple of 488,1299 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 488,1299 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(488,1299) = 1

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

GCF(488,1299) x common factors =1 x 1 = 1

LCM(488,1299) = ( 488 × 1299 ) / 1

LCM(488,1299) = 633912 / 1

LCM(488,1299) = 633912

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FAQs on GCF of Fractions of 6978/488, 3226/1299

1. What is the HCF of 6978,3226?

The HCF of 6978,3226 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 6978/488, 3226/1299?

Answer: GCF of Numerators as per given numbers 6978/488, 3226/1299 is

GCF of Numerators i.e. for 6978,3226 is 2

LCM of denominators i.e. for 488,1299 is 633912.

Thus, GCF of Fractions is 2/633912.Finally, GCF of Fractions for 6978/488, 3226/1299 is 2/633912.