How to Find GCF of 1900/280, 5527/5073?

GCF of 1900/280, 5527/5073

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 1900/280, 5527/5073 i.e 1/1420440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1900/280, 5527/5073.

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 1900/280,5527/5073?

Given fractions are 1900/280,5527/5073

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 1900/280,5527/5073, numerators are 1900,5527

Denominators are 280,5073

The GCF of 1900,5527 is 1 .

LCM of 280,5073 is 1420440.

The greatest common factor of 1900/280,5527/5073 = [GCF of 1900,5527]/[LCM of 280,5073]= 1/1420440

Therefore, the GCF of 1900/280,5527/5073 is 1/1420440.

Greatest Common Factor of 1900,5527

To find the highest common factor of 1900,5527, we have to find the factors of both numbers and list the highest common factor.

The factors of 1900 are 1, 2, 4, 5, 10, 19, 20, 25, 38, 50, 76, 95, 100, 190, 380, 475, 950, 1900

The factors of 5527 are 1, 5527

The HCF of 1900,5527 is 1.

Lets's calculate GCF of 1900,5527

Greatest Common Factor (GCF) of 1900,5527 By Common Division

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

Greatest Common Factor of 1900,5527 By Matching Biggest Common Factor Method

Now, list down the factors of 1900

1,2,4,5,10,19,20,25,38,50,76,95,100,190,380,475,950,1900

Now, list down the factors of 5527

1,5527

Greatest Common Factor

We found the factors 1900,5527 . The biggest common factor number is the GCF number.
So the greatest common factor 1900,5527 is 1.

Lets's calculate LCM of 280,5073

Lowest Common Multiple of 280,5073 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1420440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1420440

Therefore, the GCF of Fractions 1900/280,5527/5073 is 1/1420440

Least Common Multiple of 280,5073 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 280,5073 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(280,5073) = 1

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

GCF(280,5073) x common factors =1 x 1 = 1

LCM(280,5073) = ( 280 × 5073 ) / 1

LCM(280,5073) = 1420440 / 1

LCM(280,5073) = 1420440

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FAQs on GCF of Fractions of 1900/280, 5527/5073

1. What is the HCF of 1900,5527?

The HCF of 1900,5527 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 1900/280, 5527/5073?

Answer: GCF of Numerators as per given numbers 1900/280, 5527/5073 is

GCF of Numerators i.e. for 1900,5527 is 1

LCM of denominators i.e. for 280,5073 is 1420440.

Thus, GCF of Fractions is 1/1420440.Finally, GCF of Fractions for 1900/280, 5527/5073 is 1/1420440.