GCF of 6070/269, 1507/716
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6070/269, 1507/716 i.e 1/192604 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6070/269, 1507/716.
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 6070/269,1507/716?
Given fractions are 6070/269,1507/716
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 6070/269,1507/716, numerators are 6070,1507
Denominators are 269,716
The GCF of 6070,1507 is 1 .
LCM of 269,716 is 192604.
The greatest common factor of 6070/269,1507/716 = [GCF of 6070,1507]/[LCM of 269,716]= 1/192604
Therefore, the GCF of 6070/269,1507/716 is 1/192604.
To find the highest common factor of 6070,1507, we have to find the factors of both numbers and list the highest common factor.
The factors of 6070 are 1, 2, 5, 10, 607, 1214, 3035, 6070
The factors of 1507 are 1, 11, 137, 1507
The HCF of 6070,1507 is 1.
Lets's calculate GCF of 6070,1507
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6070,1507 By Matching Biggest Common Factor Method
Now, list down the factors of 6070
:1,2,5,10,607,1214,3035,6070
Now, list down the factors of 1507
:1,11,137,1507
Greatest Common Factor
We found the factors 6070,1507 . The biggest common factor number is the GCF number.
So the greatest common factor 6070,1507 is 1.
Lets's calculate LCM of 269,716
Given numbers has no common factors except 1. So, there LCM is their product i.e 192604
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/192604
Therefore, the GCF of Fractions 6070/269,1507/716 is 1/192604
Least Common Multiple of 269,716 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 269,716 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(269,716) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(269,716) x common factors =1 x 1 = 1
LCM(269,716) = ( 269 × 716 ) / 1
LCM(269,716) = 192604 / 1
LCM(269,716) = 192604
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FAQs on GCF of Fractions of 6070/269, 1507/716
1. What is the HCF of 6070,1507?
The HCF of 6070,1507 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 6070/269, 1507/716?
Answer: GCF of Numerators as per given numbers 6070/269, 1507/716 is
GCF of Numerators i.e. for 6070,1507 is 1
LCM of denominators i.e. for 269,716 is 192604.
Thus, GCF of Fractions is 1/192604.Finally, GCF of Fractions for 6070/269, 1507/716 is 1/192604.