How to Find GCF of 7247/300, 1664/5611?

GCF of 7247/300, 1664/5611

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 7247/300, 1664/5611 i.e 1/1683300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7247/300, 1664/5611.

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 7247/300,1664/5611?

Given fractions are 7247/300,1664/5611

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 7247/300,1664/5611, numerators are 7247,1664

Denominators are 300,5611

The GCF of 7247,1664 is 1 .

LCM of 300,5611 is 1683300.

The greatest common factor of 7247/300,1664/5611 = [GCF of 7247,1664]/[LCM of 300,5611]= 1/1683300

Therefore, the GCF of 7247/300,1664/5611 is 1/1683300.

Greatest Common Factor of 7247,1664

To find the highest common factor of 7247,1664, we have to find the factors of both numbers and list the highest common factor.

The factors of 7247 are 1, 7247

The factors of 1664 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 128, 208, 416, 832, 1664

The HCF of 7247,1664 is 1.

Lets's calculate GCF of 7247,1664

Greatest Common Factor (GCF) of 7247,1664 By Common Division

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

Greatest Common Factor of 7247,1664 By Matching Biggest Common Factor Method

Now, list down the factors of 7247

1,7247

Now, list down the factors of 1664

1,2,4,8,13,16,26,32,52,64,104,128,208,416,832,1664

Greatest Common Factor

We found the factors 7247,1664 . The biggest common factor number is the GCF number.
So the greatest common factor 7247,1664 is 1.

Lets's calculate LCM of 300,5611

Lowest Common Multiple of 300,5611 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1683300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1683300

Therefore, the GCF of Fractions 7247/300,1664/5611 is 1/1683300

Least Common Multiple of 300,5611 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 300,5611 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(300,5611) = 1

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

GCF(300,5611) x common factors =1 x 1 = 1

LCM(300,5611) = ( 300 × 5611 ) / 1

LCM(300,5611) = 1683300 / 1

LCM(300,5611) = 1683300

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FAQs on GCF of Fractions of 7247/300, 1664/5611

1. What is the HCF of 7247,1664?

The HCF of 7247,1664 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 7247/300, 1664/5611?

Answer: GCF of Numerators as per given numbers 7247/300, 1664/5611 is

GCF of Numerators i.e. for 7247,1664 is 1

LCM of denominators i.e. for 300,5611 is 1683300.

Thus, GCF of Fractions is 1/1683300.Finally, GCF of Fractions for 7247/300, 1664/5611 is 1/1683300.