How to Find GCF of 1949/995, 8412/8065?

GCF of 1949/995, 8412/8065

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 1949/995, 8412/8065 i.e 1/1604935 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1949/995, 8412/8065.

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 1949/995,8412/8065?

Given fractions are 1949/995,8412/8065

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 1949/995,8412/8065, numerators are 1949,8412

Denominators are 995,8065

The GCF of 1949,8412 is 1 .

LCM of 995,8065 is 1604935.

The greatest common factor of 1949/995,8412/8065 = [GCF of 1949,8412]/[LCM of 995,8065]= 1/1604935

Therefore, the GCF of 1949/995,8412/8065 is 1/1604935.

Greatest Common Factor of 1949,8412

To find the highest common factor of 1949,8412, we have to find the factors of both numbers and list the highest common factor.

The factors of 1949 are 1, 1949

The factors of 8412 are 1, 2, 3, 4, 6, 12, 701, 1402, 2103, 2804, 4206, 8412

The HCF of 1949,8412 is 1.

Lets's calculate GCF of 1949,8412

Greatest Common Factor (GCF) of 1949,8412 By Common Division

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

Greatest Common Factor of 1949,8412 By Matching Biggest Common Factor Method

Now, list down the factors of 1949

1,1949

Now, list down the factors of 8412

1,2,3,4,6,12,701,1402,2103,2804,4206,8412

Greatest Common Factor

We found the factors 1949,8412 . The biggest common factor number is the GCF number.
So the greatest common factor 1949,8412 is 1.

Lets's calculate LCM of 995,8065

Lowest Common Multiple of 995,8065 using Common Division

5	995, 8065
	199, 1613

∴ So the LCM of the given numbers is 5 x 199 x 1613 = 1604935

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1604935

Therefore, the GCF of Fractions 1949/995,8412/8065 is 1/1604935

Least Common Multiple of 995,8065 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 995,8065 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(995,8065) = 5

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

GCF(995,8065) x common factors =5 x 1 = 5

LCM(995,8065) = ( 995 × 8065 ) / 5

LCM(995,8065) = 8024675 / 5

LCM(995,8065) = 1604935

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FAQs on GCF of Fractions of 1949/995, 8412/8065

1. What is the HCF of 1949,8412?

The HCF of 1949,8412 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 1949/995, 8412/8065?

Answer: GCF of Numerators as per given numbers 1949/995, 8412/8065 is

GCF of Numerators i.e. for 1949,8412 is 1

LCM of denominators i.e. for 995,8065 is 1604935.

Thus, GCF of Fractions is 1/1604935.Finally, GCF of Fractions for 1949/995, 8412/8065 is 1/1604935.