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GCF of 899/60, 290/134

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 899/60, 290/134 i.e 29/4020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 899/60, 290/134.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 899/60,290/134?

Given fractions are 899/60,290/134

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 899/60,290/134, numerators are 899,290

Denominators are 60,134

The GCF of 899,290 is 29 .

LCM of 60,134 is 4020.

The greatest common factor of 899/60,290/134 = [GCF of 899,290]/[LCM of 60,134]= 29/4020

Therefore, the GCF of 899/60,290/134 is 29/4020.

Greatest Common Factor of 899,290

To find the highest common factor of 899,290, we have to find the factors of both numbers and list the highest common factor.

The factors of 899 are 1, 29, 31, 899

The factors of 290 are 1, 2, 5, 10, 29, 58, 145, 290

The HCF of 899,290 is 29.

Lets's calculate GCF of 899,290

Greatest Common Factor (GCF) of 899,290 By Common Division

29 899, 290
31, 10

∴ So the GCF of the given numbers is 29 = 29

Greatest Common Factor of 899,290 By Matching Biggest Common Factor Method

Greatest Common Factor of 899,290 By Matching Biggest Common Factor Method

Now, list down the factors of 899

:

1,29,31,899

Now, list down the factors of 290

:

1,2,5,10,29,58,145,290

Greatest Common Factor

We found the factors 899,290 . The biggest common factor number is the GCF number.
So the greatest common factor 899,290 is 29.


Lets's calculate LCM of 60,134

Lowest Common Multiple of 60,134 using Common Division

2 60, 134
30, 67

∴ So the LCM of the given numbers is 2 x 30 x 67 = 4020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/4020

Therefore, the GCF of Fractions 899/60,290/134 is 29/4020

Least Common Multiple of 60,134 with GCF Formula

Least Common Multiple of 60,134 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 60,134 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,134) = 2

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

GCF(60,134) x common factors =2 x 1 = 2

LCM(60,134) = ( 60 × 134 ) / 2

LCM(60,134) = 8040 / 2

LCM(60,134) = 4020


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 899/60, 290/134

1. What is the HCF of 899,290?

The HCF of 899,290 is 29

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 899/60, 290/134?

Answer: GCF of Numerators as per given numbers 899/60, 290/134 is

GCF of Numerators i.e. for 899,290 is 29

LCM of denominators i.e. for 60,134 is 4020.

Thus, GCF of Fractions is 29/4020.Finally, GCF of Fractions for 899/60, 290/134 is 29/4020.