GCF of 6521/680, 5612/3746
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6521/680, 5612/3746 i.e 1/1273640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6521/680, 5612/3746.
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 6521/680,5612/3746?
Given fractions are 6521/680,5612/3746
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 6521/680,5612/3746, numerators are 6521,5612
Denominators are 680,3746
The GCF of 6521,5612 is 1 .
LCM of 680,3746 is 1273640.
The greatest common factor of 6521/680,5612/3746 = [GCF of 6521,5612]/[LCM of 680,3746]= 1/1273640
Therefore, the GCF of 6521/680,5612/3746 is 1/1273640.
To find the highest common factor of 6521,5612, we have to find the factors of both numbers and list the highest common factor.
The factors of 6521 are 1, 6521
The factors of 5612 are 1, 2, 4, 23, 46, 61, 92, 122, 244, 1403, 2806, 5612
The HCF of 6521,5612 is 1.
Lets's calculate GCF of 6521,5612
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6521,5612 By Matching Biggest Common Factor Method
Now, list down the factors of 6521
:1,6521
Now, list down the factors of 5612
:1,2,4,23,46,61,92,122,244,1403,2806,5612
Greatest Common Factor
We found the factors 6521,5612 . The biggest common factor number is the GCF number.
So the greatest common factor 6521,5612 is 1.
Lets's calculate LCM of 680,3746
| 2 | 680, 3746 |
| 340, 1873 |
∴ So the LCM of the given numbers is 2 x 340 x 1873 = 1273640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1273640
Therefore, the GCF of Fractions 6521/680,5612/3746 is 1/1273640
Least Common Multiple of 680,3746 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 680,3746 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(680,3746) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(680,3746) x common factors =2 x 1 = 2
LCM(680,3746) = ( 680 × 3746 ) / 2
LCM(680,3746) = 2547280 / 2
LCM(680,3746) = 1273640
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FAQs on GCF of Fractions of 6521/680, 5612/3746
1. What is the HCF of 6521,5612?
The HCF of 6521,5612 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 6521/680, 5612/3746?
Answer: GCF of Numerators as per given numbers 6521/680, 5612/3746 is
GCF of Numerators i.e. for 6521,5612 is 1
LCM of denominators i.e. for 680,3746 is 1273640.
Thus, GCF of Fractions is 1/1273640.Finally, GCF of Fractions for 6521/680, 5612/3746 is 1/1273640.