How to Find GCF of 844/607, 5950/4495?

GCF of 844/607, 5950/4495

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 844/607, 5950/4495 i.e 2/2728465 easily. The following is the detailed procedure to determine the greatest common factor of fractions 844/607, 5950/4495.

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 844/607,5950/4495?

Given fractions are 844/607,5950/4495

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 844/607,5950/4495, numerators are 844,5950

Denominators are 607,4495

The GCF of 844,5950 is 2 .

LCM of 607,4495 is 2728465.

The greatest common factor of 844/607,5950/4495 = [GCF of 844,5950]/[LCM of 607,4495]= 2/2728465

Therefore, the GCF of 844/607,5950/4495 is 2/2728465.

Greatest Common Factor of 844,5950

To find the highest common factor of 844,5950, we have to find the factors of both numbers and list the highest common factor.

The factors of 844 are 1, 2, 4, 211, 422, 844

The factors of 5950 are 1, 2, 5, 7, 10, 14, 17, 25, 34, 35, 50, 70, 85, 119, 170, 175, 238, 350, 425, 595, 850, 1190, 2975, 5950

The HCF of 844,5950 is 2.

Lets's calculate GCF of 844,5950

Greatest Common Factor (GCF) of 844,5950 By Common Division

2	844, 5950
	422, 2975

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

Greatest Common Factor of 844,5950 By Matching Biggest Common Factor Method

Now, list down the factors of 844

1,2,4,211,422,844

Now, list down the factors of 5950

1,2,5,7,10,14,17,25,34,35,50,70,85,119,170,175,238,350,425,595,850,1190,2975,5950

Greatest Common Factor

We found the factors 844,5950 . The biggest common factor number is the GCF number.
So the greatest common factor 844,5950 is 2.

Lets's calculate LCM of 607,4495

Lowest Common Multiple of 607,4495 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2728465

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2728465

Therefore, the GCF of Fractions 844/607,5950/4495 is 2/2728465

Least Common Multiple of 607,4495 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 607,4495 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(607,4495) = 1

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

GCF(607,4495) x common factors =1 x 1 = 1

LCM(607,4495) = ( 607 × 4495 ) / 1

LCM(607,4495) = 2728465 / 1

LCM(607,4495) = 2728465

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FAQs on GCF of Fractions of 844/607, 5950/4495

1. What is the HCF of 844,5950?

The HCF of 844,5950 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 844/607, 5950/4495?

Answer: GCF of Numerators as per given numbers 844/607, 5950/4495 is

GCF of Numerators i.e. for 844,5950 is 2

LCM of denominators i.e. for 607,4495 is 2728465.

Thus, GCF of Fractions is 2/2728465.Finally, GCF of Fractions for 844/607, 5950/4495 is 2/2728465.