How to Find GCF of 9622/280, 1540/336?

GCF of 9622/280, 1540/336

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 9622/280, 1540/336 i.e 2/1680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9622/280, 1540/336.

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 9622/280,1540/336?

Given fractions are 9622/280,1540/336

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 9622/280,1540/336, numerators are 9622,1540

Denominators are 280,336

The GCF of 9622,1540 is 2 .

LCM of 280,336 is 1680.

The greatest common factor of 9622/280,1540/336 = [GCF of 9622,1540]/[LCM of 280,336]= 2/1680

Therefore, the GCF of 9622/280,1540/336 is 2/1680.

Greatest Common Factor of 9622,1540

To find the highest common factor of 9622,1540, we have to find the factors of both numbers and list the highest common factor.

The factors of 9622 are 1, 2, 17, 34, 283, 566, 4811, 9622

The factors of 1540 are 1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 28, 35, 44, 55, 70, 77, 110, 140, 154, 220, 308, 385, 770, 1540

The HCF of 9622,1540 is 2.

Lets's calculate GCF of 9622,1540

Greatest Common Factor (GCF) of 9622,1540 By Common Division

2	9622, 1540
	4811, 770

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

Greatest Common Factor of 9622,1540 By Matching Biggest Common Factor Method

Now, list down the factors of 9622

1,2,17,34,283,566,4811,9622

Now, list down the factors of 1540

1,2,4,5,7,10,11,14,20,22,28,35,44,55,70,77,110,140,154,220,308,385,770,1540

Greatest Common Factor

We found the factors 9622,1540 . The biggest common factor number is the GCF number.
So the greatest common factor 9622,1540 is 2.

Lets's calculate LCM of 280,336

Lowest Common Multiple of 280,336 using Common Division

2	280, 336
2	140, 168
2	70, 84
7	35, 42
	5, 6

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 5 x 6 = 1680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1680

Therefore, the GCF of Fractions 9622/280,1540/336 is 2/1680

Least Common Multiple of 280,336 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 280,336 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(280,336) = 56

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

GCF(280,336) x common factors =56 x 1 = 56

LCM(280,336) = ( 280 × 336 ) / 56

LCM(280,336) = 94080 / 56

LCM(280,336) = 1680

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9622/280, 1540/336

1. What is the HCF of 9622,1540?

The HCF of 9622,1540 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 9622/280, 1540/336?

Answer: GCF of Numerators as per given numbers 9622/280, 1540/336 is

GCF of Numerators i.e. for 9622,1540 is 2

LCM of denominators i.e. for 280,336 is 1680.

Thus, GCF of Fractions is 2/1680.Finally, GCF of Fractions for 9622/280, 1540/336 is 2/1680.