How to Find GCF of 8490/873, 3374/1582?

GCF of 8490/873, 3374/1582

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 8490/873, 3374/1582 i.e 2/1381086 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8490/873, 3374/1582.

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 8490/873,3374/1582?

Given fractions are 8490/873,3374/1582

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 8490/873,3374/1582, numerators are 8490,3374

Denominators are 873,1582

The GCF of 8490,3374 is 2 .

LCM of 873,1582 is 1381086.

The greatest common factor of 8490/873,3374/1582 = [GCF of 8490,3374]/[LCM of 873,1582]= 2/1381086

Therefore, the GCF of 8490/873,3374/1582 is 2/1381086.

Greatest Common Factor of 8490,3374

To find the highest common factor of 8490,3374, we have to find the factors of both numbers and list the highest common factor.

The factors of 8490 are 1, 2, 3, 5, 6, 10, 15, 30, 283, 566, 849, 1415, 1698, 2830, 4245, 8490

The factors of 3374 are 1, 2, 7, 14, 241, 482, 1687, 3374

The HCF of 8490,3374 is 2.

Lets's calculate GCF of 8490,3374

Greatest Common Factor (GCF) of 8490,3374 By Common Division

2	8490, 3374
	4245, 1687

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

Greatest Common Factor of 8490,3374 By Matching Biggest Common Factor Method

Now, list down the factors of 8490

1,2,3,5,6,10,15,30,283,566,849,1415,1698,2830,4245,8490

Now, list down the factors of 3374

1,2,7,14,241,482,1687,3374

Greatest Common Factor

We found the factors 8490,3374 . The biggest common factor number is the GCF number.
So the greatest common factor 8490,3374 is 2.

Lets's calculate LCM of 873,1582

Lowest Common Multiple of 873,1582 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1381086

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1381086

Therefore, the GCF of Fractions 8490/873,3374/1582 is 2/1381086

Least Common Multiple of 873,1582 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 873,1582 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(873,1582) = 1

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

GCF(873,1582) x common factors =1 x 1 = 1

LCM(873,1582) = ( 873 × 1582 ) / 1

LCM(873,1582) = 1381086 / 1

LCM(873,1582) = 1381086

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FAQs on GCF of Fractions of 8490/873, 3374/1582

1. What is the HCF of 8490,3374?

The HCF of 8490,3374 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 8490/873, 3374/1582?

Answer: GCF of Numerators as per given numbers 8490/873, 3374/1582 is

GCF of Numerators i.e. for 8490,3374 is 2

LCM of denominators i.e. for 873,1582 is 1381086.

Thus, GCF of Fractions is 2/1381086.Finally, GCF of Fractions for 8490/873, 3374/1582 is 2/1381086.