How to Find GCF of 1506/899, 1870/9961?

GCF of 1506/899, 1870/9961

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 1506/899, 1870/9961 i.e 2/8954939 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1506/899, 1870/9961.

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 1506/899,1870/9961?

Given fractions are 1506/899,1870/9961

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 1506/899,1870/9961, numerators are 1506,1870

Denominators are 899,9961

The GCF of 1506,1870 is 2 .

LCM of 899,9961 is 8954939.

The greatest common factor of 1506/899,1870/9961 = [GCF of 1506,1870]/[LCM of 899,9961]= 2/8954939

Therefore, the GCF of 1506/899,1870/9961 is 2/8954939.

Greatest Common Factor of 1506,1870

To find the highest common factor of 1506,1870, we have to find the factors of both numbers and list the highest common factor.

The factors of 1506 are 1, 2, 3, 6, 251, 502, 753, 1506

The factors of 1870 are 1, 2, 5, 10, 11, 17, 22, 34, 55, 85, 110, 170, 187, 374, 935, 1870

The HCF of 1506,1870 is 2.

Lets's calculate GCF of 1506,1870

Greatest Common Factor (GCF) of 1506,1870 By Common Division

2	1506, 1870
	753, 935

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

Greatest Common Factor of 1506,1870 By Matching Biggest Common Factor Method

Now, list down the factors of 1506

1,2,3,6,251,502,753,1506

Now, list down the factors of 1870

1,2,5,10,11,17,22,34,55,85,110,170,187,374,935,1870

Greatest Common Factor

We found the factors 1506,1870 . The biggest common factor number is the GCF number.
So the greatest common factor 1506,1870 is 2.

Lets's calculate LCM of 899,9961

Lowest Common Multiple of 899,9961 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 8954939

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8954939

Therefore, the GCF of Fractions 1506/899,1870/9961 is 2/8954939

Least Common Multiple of 899,9961 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 899,9961 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(899,9961) = 1

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

GCF(899,9961) x common factors =1 x 1 = 1

LCM(899,9961) = ( 899 × 9961 ) / 1

LCM(899,9961) = 8954939 / 1

LCM(899,9961) = 8954939

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 1506/899, 1870/9961

1. What is the HCF of 1506,1870?

The HCF of 1506,1870 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 1506/899, 1870/9961?

Answer: GCF of Numerators as per given numbers 1506/899, 1870/9961 is

GCF of Numerators i.e. for 1506,1870 is 2

LCM of denominators i.e. for 899,9961 is 8954939.

Thus, GCF of Fractions is 2/8954939.Finally, GCF of Fractions for 1506/899, 1870/9961 is 2/8954939.