GCF of 7565/427, 1034/5309
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7565/427, 1034/5309 i.e 1/2266943 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7565/427, 1034/5309.
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 7565/427,1034/5309?
Given fractions are 7565/427,1034/5309
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 7565/427,1034/5309, numerators are 7565,1034
Denominators are 427,5309
The GCF of 7565,1034 is 1 .
LCM of 427,5309 is 2266943.
The greatest common factor of 7565/427,1034/5309 = [GCF of 7565,1034]/[LCM of 427,5309]= 1/2266943
Therefore, the GCF of 7565/427,1034/5309 is 1/2266943.
To find the highest common factor of 7565,1034, we have to find the factors of both numbers and list the highest common factor.
The factors of 7565 are 1, 5, 17, 85, 89, 445, 1513, 7565
The factors of 1034 are 1, 2, 11, 22, 47, 94, 517, 1034
The HCF of 7565,1034 is 1.
Lets's calculate GCF of 7565,1034
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7565,1034 By Matching Biggest Common Factor Method
Now, list down the factors of 7565
:1,5,17,85,89,445,1513,7565
Now, list down the factors of 1034
:1,2,11,22,47,94,517,1034
Greatest Common Factor
We found the factors 7565,1034 . The biggest common factor number is the GCF number.
So the greatest common factor 7565,1034 is 1.
Lets's calculate LCM of 427,5309
Given numbers has no common factors except 1. So, there LCM is their product i.e 2266943
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2266943
Therefore, the GCF of Fractions 7565/427,1034/5309 is 1/2266943
Least Common Multiple of 427,5309 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 427,5309 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(427,5309) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(427,5309) x common factors =1 x 1 = 1
LCM(427,5309) = ( 427 × 5309 ) / 1
LCM(427,5309) = 2266943 / 1
LCM(427,5309) = 2266943
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FAQs on GCF of Fractions of 7565/427, 1034/5309
1. What is the HCF of 7565,1034?
The HCF of 7565,1034 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 7565/427, 1034/5309?
Answer: GCF of Numerators as per given numbers 7565/427, 1034/5309 is
GCF of Numerators i.e. for 7565,1034 is 1
LCM of denominators i.e. for 427,5309 is 2266943.
Thus, GCF of Fractions is 1/2266943.Finally, GCF of Fractions for 7565/427, 1034/5309 is 1/2266943.