GCF of 687/155, 710/414
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 687/155, 710/414 i.e 1/64170 easily. The following is the detailed procedure to determine the greatest common factor of fractions 687/155, 710/414.
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 687/155,710/414?
Given fractions are 687/155,710/414
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 687/155,710/414, numerators are 687,710
Denominators are 155,414
The GCF of 687,710 is 1 .
LCM of 155,414 is 64170.
The greatest common factor of 687/155,710/414 = [GCF of 687,710]/[LCM of 155,414]= 1/64170
Therefore, the GCF of 687/155,710/414 is 1/64170.
To find the highest common factor of 687,710, we have to find the factors of both numbers and list the highest common factor.
The factors of 687 are 1, 3, 229, 687
The factors of 710 are 1, 2, 5, 10, 71, 142, 355, 710
The HCF of 687,710 is 1.
Lets's calculate GCF of 687,710
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 687,710 By Matching Biggest Common Factor Method
Now, list down the factors of 687
:1,3,229,687
Now, list down the factors of 710
:1,2,5,10,71,142,355,710
Greatest Common Factor
We found the factors 687,710 . The biggest common factor number is the GCF number.
So the greatest common factor 687,710 is 1.
Lets's calculate LCM of 155,414
Given numbers has no common factors except 1. So, there LCM is their product i.e 64170
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/64170
Therefore, the GCF of Fractions 687/155,710/414 is 1/64170
Least Common Multiple of 155,414 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 155,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(155,414) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(155,414) x common factors =1 x 1 = 1
LCM(155,414) = ( 155 × 414 ) / 1
LCM(155,414) = 64170 / 1
LCM(155,414) = 64170
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FAQs on GCF of Fractions of 687/155, 710/414
1. What is the HCF of 687,710?
The HCF of 687,710 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 687/155, 710/414?
Answer: GCF of Numerators as per given numbers 687/155, 710/414 is
GCF of Numerators i.e. for 687,710 is 1
LCM of denominators i.e. for 155,414 is 64170.
Thus, GCF of Fractions is 1/64170.Finally, GCF of Fractions for 687/155, 710/414 is 1/64170.