GCF of 8440/137, 2213/7540
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8440/137, 2213/7540 i.e 1/1032980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8440/137, 2213/7540.
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 8440/137,2213/7540?
Given fractions are 8440/137,2213/7540
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 8440/137,2213/7540, numerators are 8440,2213
Denominators are 137,7540
The GCF of 8440,2213 is 1 .
LCM of 137,7540 is 1032980.
The greatest common factor of 8440/137,2213/7540 = [GCF of 8440,2213]/[LCM of 137,7540]= 1/1032980
Therefore, the GCF of 8440/137,2213/7540 is 1/1032980.
To find the highest common factor of 8440,2213, we have to find the factors of both numbers and list the highest common factor.
The factors of 8440 are 1, 2, 4, 5, 8, 10, 20, 40, 211, 422, 844, 1055, 1688, 2110, 4220, 8440
The factors of 2213 are 1, 2213
The HCF of 8440,2213 is 1.
Lets's calculate GCF of 8440,2213
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8440,2213 By Matching Biggest Common Factor Method
Now, list down the factors of 8440
:1,2,4,5,8,10,20,40,211,422,844,1055,1688,2110,4220,8440
Now, list down the factors of 2213
:1,2213
Greatest Common Factor
We found the factors 8440,2213 . The biggest common factor number is the GCF number.
So the greatest common factor 8440,2213 is 1.
Lets's calculate LCM of 137,7540
Given numbers has no common factors except 1. So, there LCM is their product i.e 1032980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1032980
Therefore, the GCF of Fractions 8440/137,2213/7540 is 1/1032980
Least Common Multiple of 137,7540 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 137,7540 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(137,7540) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(137,7540) x common factors =1 x 1 = 1
LCM(137,7540) = ( 137 × 7540 ) / 1
LCM(137,7540) = 1032980 / 1
LCM(137,7540) = 1032980
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FAQs on GCF of Fractions of 8440/137, 2213/7540
1. What is the HCF of 8440,2213?
The HCF of 8440,2213 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 8440/137, 2213/7540?
Answer: GCF of Numerators as per given numbers 8440/137, 2213/7540 is
GCF of Numerators i.e. for 8440,2213 is 1
LCM of denominators i.e. for 137,7540 is 1032980.
Thus, GCF of Fractions is 1/1032980.Finally, GCF of Fractions for 8440/137, 2213/7540 is 1/1032980.