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GCF of 4505/60, 7045/919

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 4505/60, 7045/919 i.e 5/55140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4505/60, 7045/919.

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 4505/60,7045/919?

Given fractions are 4505/60,7045/919

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 4505/60,7045/919, numerators are 4505,7045

Denominators are 60,919

The GCF of 4505,7045 is 5 .

LCM of 60,919 is 55140.

The greatest common factor of 4505/60,7045/919 = [GCF of 4505,7045]/[LCM of 60,919]= 5/55140

Therefore, the GCF of 4505/60,7045/919 is 5/55140.

Greatest Common Factor of 4505,7045

To find the highest common factor of 4505,7045, we have to find the factors of both numbers and list the highest common factor.

The factors of 4505 are 1, 5, 17, 53, 85, 265, 901, 4505

The factors of 7045 are 1, 5, 1409, 7045

The HCF of 4505,7045 is 5.

Lets's calculate GCF of 4505,7045

Greatest Common Factor (GCF) of 4505,7045 By Common Division

5 4505, 7045
901, 1409

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 4505,7045 By Matching Biggest Common Factor Method

Greatest Common Factor of 4505,7045 By Matching Biggest Common Factor Method

Now, list down the factors of 4505

:

1,5,17,53,85,265,901,4505

Now, list down the factors of 7045

:

1,5,1409,7045

Greatest Common Factor

We found the factors 4505,7045 . The biggest common factor number is the GCF number.
So the greatest common factor 4505,7045 is 5.

Lets's calculate LCM of 60,919

Lowest Common Multiple of 60,919 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 55140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/55140

Therefore, the GCF of Fractions 4505/60,7045/919 is 5/55140

Least Common Multiple of 60,919 with GCF Formula

Least Common Multiple of 60,919 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 60,919 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,919) = 1

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

GCF(60,919) x common factors =1 x 1 = 1

LCM(60,919) = ( 60 × 919 ) / 1

LCM(60,919) = 55140 / 1

LCM(60,919) = 55140


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4505/60, 7045/919

1. What is the HCF of 4505,7045?

The HCF of 4505,7045 is 5

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 4505/60, 7045/919?

Answer: GCF of Numerators as per given numbers 4505/60, 7045/919 is

GCF of Numerators i.e. for 4505,7045 is 5

LCM of denominators i.e. for 60,919 is 55140.

Thus, GCF of Fractions is 5/55140.Finally, GCF of Fractions for 4505/60, 7045/919 is 5/55140.