How to Find GCF of 2490/996, 7678/6263?

GCF of 2490/996, 7678/6263

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 2490/996, 7678/6263 i.e 2/6237948 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2490/996, 7678/6263.

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 2490/996,7678/6263?

Given fractions are 2490/996,7678/6263

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 2490/996,7678/6263, numerators are 2490,7678

Denominators are 996,6263

The GCF of 2490,7678 is 2 .

LCM of 996,6263 is 6237948.

The greatest common factor of 2490/996,7678/6263 = [GCF of 2490,7678]/[LCM of 996,6263]= 2/6237948

Therefore, the GCF of 2490/996,7678/6263 is 2/6237948.

Greatest Common Factor of 2490,7678

To find the highest common factor of 2490,7678, we have to find the factors of both numbers and list the highest common factor.

The factors of 2490 are 1, 2, 3, 5, 6, 10, 15, 30, 83, 166, 249, 415, 498, 830, 1245, 2490

The factors of 7678 are 1, 2, 11, 22, 349, 698, 3839, 7678

The HCF of 2490,7678 is 2.

Lets's calculate GCF of 2490,7678

Greatest Common Factor (GCF) of 2490,7678 By Common Division

2	2490, 7678
	1245, 3839

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

Greatest Common Factor of 2490,7678 By Matching Biggest Common Factor Method

Now, list down the factors of 2490

1,2,3,5,6,10,15,30,83,166,249,415,498,830,1245,2490

Now, list down the factors of 7678

1,2,11,22,349,698,3839,7678

Greatest Common Factor

We found the factors 2490,7678 . The biggest common factor number is the GCF number.
So the greatest common factor 2490,7678 is 2.

Lets's calculate LCM of 996,6263

Lowest Common Multiple of 996,6263 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6237948

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6237948

Therefore, the GCF of Fractions 2490/996,7678/6263 is 2/6237948

Least Common Multiple of 996,6263 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 996,6263 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(996,6263) = 1

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

GCF(996,6263) x common factors =1 x 1 = 1

LCM(996,6263) = ( 996 × 6263 ) / 1

LCM(996,6263) = 6237948 / 1

LCM(996,6263) = 6237948

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2490/996, 7678/6263

1. What is the HCF of 2490,7678?

The HCF of 2490,7678 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 2490/996, 7678/6263?

Answer: GCF of Numerators as per given numbers 2490/996, 7678/6263 is

GCF of Numerators i.e. for 2490,7678 is 2

LCM of denominators i.e. for 996,6263 is 6237948.

Thus, GCF of Fractions is 2/6237948.Finally, GCF of Fractions for 2490/996, 7678/6263 is 2/6237948.