How to Find GCF of 2380/869, 1522/8350?

GCF of 2380/869, 1522/8350

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 2380/869, 1522/8350 i.e 2/7256150 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2380/869, 1522/8350.

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 2380/869,1522/8350?

Given fractions are 2380/869,1522/8350

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 2380/869,1522/8350, numerators are 2380,1522

Denominators are 869,8350

The GCF of 2380,1522 is 2 .

LCM of 869,8350 is 7256150.

The greatest common factor of 2380/869,1522/8350 = [GCF of 2380,1522]/[LCM of 869,8350]= 2/7256150

Therefore, the GCF of 2380/869,1522/8350 is 2/7256150.

Greatest Common Factor of 2380,1522

To find the highest common factor of 2380,1522, we have to find the factors of both numbers and list the highest common factor.

The factors of 2380 are 1, 2, 4, 5, 7, 10, 14, 17, 20, 28, 34, 35, 68, 70, 85, 119, 140, 170, 238, 340, 476, 595, 1190, 2380

The factors of 1522 are 1, 2, 761, 1522

The HCF of 2380,1522 is 2.

Lets's calculate GCF of 2380,1522

Greatest Common Factor (GCF) of 2380,1522 By Common Division

2	2380, 1522
	1190, 761

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

Greatest Common Factor of 2380,1522 By Matching Biggest Common Factor Method

Now, list down the factors of 2380

1,2,4,5,7,10,14,17,20,28,34,35,68,70,85,119,140,170,238,340,476,595,1190,2380

Now, list down the factors of 1522

1,2,761,1522

Greatest Common Factor

We found the factors 2380,1522 . The biggest common factor number is the GCF number.
So the greatest common factor 2380,1522 is 2.

Lets's calculate LCM of 869,8350

Lowest Common Multiple of 869,8350 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7256150

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7256150

Therefore, the GCF of Fractions 2380/869,1522/8350 is 2/7256150

Least Common Multiple of 869,8350 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 869,8350 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(869,8350) = 1

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

GCF(869,8350) x common factors =1 x 1 = 1

LCM(869,8350) = ( 869 × 8350 ) / 1

LCM(869,8350) = 7256150 / 1

LCM(869,8350) = 7256150

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2380/869, 1522/8350

1. What is the HCF of 2380,1522?

The HCF of 2380,1522 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 2380/869, 1522/8350?

Answer: GCF of Numerators as per given numbers 2380/869, 1522/8350 is

GCF of Numerators i.e. for 2380,1522 is 2

LCM of denominators i.e. for 869,8350 is 7256150.

Thus, GCF of Fractions is 2/7256150.Finally, GCF of Fractions for 2380/869, 1522/8350 is 2/7256150.