How to Find GCF of 1550/870, 3349/8356?

GCF of 1550/870, 3349/8356

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 1550/870, 3349/8356 i.e 1/3634860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1550/870, 3349/8356.

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 1550/870,3349/8356?

Given fractions are 1550/870,3349/8356

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 1550/870,3349/8356, numerators are 1550,3349

Denominators are 870,8356

The GCF of 1550,3349 is 1 .

LCM of 870,8356 is 3634860.

The greatest common factor of 1550/870,3349/8356 = [GCF of 1550,3349]/[LCM of 870,8356]= 1/3634860

Therefore, the GCF of 1550/870,3349/8356 is 1/3634860.

Greatest Common Factor of 1550,3349

To find the highest common factor of 1550,3349, we have to find the factors of both numbers and list the highest common factor.

The factors of 1550 are 1, 2, 5, 10, 25, 31, 50, 62, 155, 310, 775, 1550

The factors of 3349 are 1, 17, 197, 3349

The HCF of 1550,3349 is 1.

Lets's calculate GCF of 1550,3349

Greatest Common Factor (GCF) of 1550,3349 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 1550,3349 By Matching Biggest Common Factor Method

Now, list down the factors of 1550

1,2,5,10,25,31,50,62,155,310,775,1550

Now, list down the factors of 3349

1,17,197,3349

Greatest Common Factor

We found the factors 1550,3349 . The biggest common factor number is the GCF number.
So the greatest common factor 1550,3349 is 1.

Lets's calculate LCM of 870,8356

Lowest Common Multiple of 870,8356 using Common Division

2	870, 8356
	435, 4178

∴ So the LCM of the given numbers is 2 x 435 x 4178 = 3634860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3634860

Therefore, the GCF of Fractions 1550/870,3349/8356 is 1/3634860

Least Common Multiple of 870,8356 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 870,8356 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(870,8356) = 2

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

GCF(870,8356) x common factors =2 x 1 = 2

LCM(870,8356) = ( 870 × 8356 ) / 2

LCM(870,8356) = 7269720 / 2

LCM(870,8356) = 3634860

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 1550/870, 3349/8356

1. What is the HCF of 1550,3349?

The HCF of 1550,3349 is 1

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 1550/870, 3349/8356?

Answer: GCF of Numerators as per given numbers 1550/870, 3349/8356 is

GCF of Numerators i.e. for 1550,3349 is 1

LCM of denominators i.e. for 870,8356 is 3634860.

Thus, GCF of Fractions is 1/3634860.Finally, GCF of Fractions for 1550/870, 3349/8356 is 1/3634860.