GCF of 7540/406, 6893/5213
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7540/406, 6893/5213 i.e 1/2116478 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7540/406, 6893/5213.
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 7540/406,6893/5213?
Given fractions are 7540/406,6893/5213
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 7540/406,6893/5213, numerators are 7540,6893
Denominators are 406,5213
The GCF of 7540,6893 is 1 .
LCM of 406,5213 is 2116478.
The greatest common factor of 7540/406,6893/5213 = [GCF of 7540,6893]/[LCM of 406,5213]= 1/2116478
Therefore, the GCF of 7540/406,6893/5213 is 1/2116478.
To find the highest common factor of 7540,6893, we have to find the factors of both numbers and list the highest common factor.
The factors of 7540 are 1, 2, 4, 5, 10, 13, 20, 26, 29, 52, 58, 65, 116, 130, 145, 260, 290, 377, 580, 754, 1508, 1885, 3770, 7540
The factors of 6893 are 1, 61, 113, 6893
The HCF of 7540,6893 is 1.
Lets's calculate GCF of 7540,6893
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7540,6893 By Matching Biggest Common Factor Method
Now, list down the factors of 7540
:1,2,4,5,10,13,20,26,29,52,58,65,116,130,145,260,290,377,580,754,1508,1885,3770,7540
Now, list down the factors of 6893
:1,61,113,6893
Greatest Common Factor
We found the factors 7540,6893 . The biggest common factor number is the GCF number.
So the greatest common factor 7540,6893 is 1.
Lets's calculate LCM of 406,5213
Given numbers has no common factors except 1. So, there LCM is their product i.e 2116478
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2116478
Therefore, the GCF of Fractions 7540/406,6893/5213 is 1/2116478
Least Common Multiple of 406,5213 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 406,5213 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(406,5213) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(406,5213) x common factors =1 x 1 = 1
LCM(406,5213) = ( 406 × 5213 ) / 1
LCM(406,5213) = 2116478 / 1
LCM(406,5213) = 2116478
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FAQs on GCF of Fractions of 7540/406, 6893/5213
1. What is the HCF of 7540,6893?
The HCF of 7540,6893 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 7540/406, 6893/5213?
Answer: GCF of Numerators as per given numbers 7540/406, 6893/5213 is
GCF of Numerators i.e. for 7540,6893 is 1
LCM of denominators i.e. for 406,5213 is 2116478.
Thus, GCF of Fractions is 1/2116478.Finally, GCF of Fractions for 7540/406, 6893/5213 is 1/2116478.