How to Find GCF of 2984/690, 7338/7620?

GCF of 2984/690, 7338/7620

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 2984/690, 7338/7620 i.e 2/175260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2984/690, 7338/7620.

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 2984/690,7338/7620?

Given fractions are 2984/690,7338/7620

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 2984/690,7338/7620, numerators are 2984,7338

Denominators are 690,7620

The GCF of 2984,7338 is 2 .

LCM of 690,7620 is 175260.

The greatest common factor of 2984/690,7338/7620 = [GCF of 2984,7338]/[LCM of 690,7620]= 2/175260

Therefore, the GCF of 2984/690,7338/7620 is 2/175260.

Greatest Common Factor of 2984,7338

To find the highest common factor of 2984,7338, we have to find the factors of both numbers and list the highest common factor.

The factors of 2984 are 1, 2, 4, 8, 373, 746, 1492, 2984

The factors of 7338 are 1, 2, 3, 6, 1223, 2446, 3669, 7338

The HCF of 2984,7338 is 2.

Lets's calculate GCF of 2984,7338

Greatest Common Factor (GCF) of 2984,7338 By Common Division

2	2984, 7338
	1492, 3669

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

Greatest Common Factor of 2984,7338 By Matching Biggest Common Factor Method

Now, list down the factors of 2984

1,2,4,8,373,746,1492,2984

Now, list down the factors of 7338

1,2,3,6,1223,2446,3669,7338

Greatest Common Factor

We found the factors 2984,7338 . The biggest common factor number is the GCF number.
So the greatest common factor 2984,7338 is 2.

Lets's calculate LCM of 690,7620

Lowest Common Multiple of 690,7620 using Common Division

2	690, 7620
3	345, 3810
5	115, 1270
	23, 254

∴ So the LCM of the given numbers is 2 x 3 x 5 x 23 x 254 = 175260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/175260

Therefore, the GCF of Fractions 2984/690,7338/7620 is 2/175260

Least Common Multiple of 690,7620 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 690,7620 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(690,7620) = 30

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

GCF(690,7620) x common factors =30 x 1 = 30

LCM(690,7620) = ( 690 × 7620 ) / 30

LCM(690,7620) = 5257800 / 30

LCM(690,7620) = 175260

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2984/690, 7338/7620

1. What is the HCF of 2984,7338?

The HCF of 2984,7338 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 2984/690, 7338/7620?

Answer: GCF of Numerators as per given numbers 2984/690, 7338/7620 is

GCF of Numerators i.e. for 2984,7338 is 2

LCM of denominators i.e. for 690,7620 is 175260.

Thus, GCF of Fractions is 2/175260.Finally, GCF of Fractions for 2984/690, 7338/7620 is 2/175260.