How to Find GCF of 949/98, 208/3170?

GCF of 949/98, 208/3170

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 949/98, 208/3170 i.e 13/155330 easily. The following is the detailed procedure to determine the greatest common factor of fractions 949/98, 208/3170.

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 949/98,208/3170?

Given fractions are 949/98,208/3170

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 949/98,208/3170, numerators are 949,208

Denominators are 98,3170

The GCF of 949,208 is 13 .

LCM of 98,3170 is 155330.

The greatest common factor of 949/98,208/3170 = [GCF of 949,208]/[LCM of 98,3170]= 13/155330

Therefore, the GCF of 949/98,208/3170 is 13/155330.

Greatest Common Factor of 949,208

To find the highest common factor of 949,208, we have to find the factors of both numbers and list the highest common factor.

The factors of 949 are 1, 13, 73, 949

The factors of 208 are 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

The HCF of 949,208 is 13.

Lets's calculate GCF of 949,208

Greatest Common Factor (GCF) of 949,208 By Common Division

13	949, 208
	73, 16

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 949,208 By Matching Biggest Common Factor Method

Now, list down the factors of 949

1,13,73,949

Now, list down the factors of 208

1,2,4,8,13,16,26,52,104,208

Greatest Common Factor

We found the factors 949,208 . The biggest common factor number is the GCF number.
So the greatest common factor 949,208 is 13.

Lets's calculate LCM of 98,3170

Lowest Common Multiple of 98,3170 using Common Division

2	98, 3170
	49, 1585

∴ So the LCM of the given numbers is 2 x 49 x 1585 = 155330

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/155330

Therefore, the GCF of Fractions 949/98,208/3170 is 13/155330

Least Common Multiple of 98,3170 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 98,3170 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,3170) = 2

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

GCF(98,3170) x common factors =2 x 1 = 2

LCM(98,3170) = ( 98 × 3170 ) / 2

LCM(98,3170) = 310660 / 2

LCM(98,3170) = 155330

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FAQs on GCF of Fractions of 949/98, 208/3170

1. What is the HCF of 949,208?

The HCF of 949,208 is 13

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 949/98, 208/3170?

Answer: GCF of Numerators as per given numbers 949/98, 208/3170 is

GCF of Numerators i.e. for 949,208 is 13

LCM of denominators i.e. for 98,3170 is 155330.

Thus, GCF of Fractions is 13/155330.Finally, GCF of Fractions for 949/98, 208/3170 is 13/155330.