GCF of 4710/517, 1507/8374
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4710/517, 1507/8374 i.e 1/4329358 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4710/517, 1507/8374.
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 4710/517,1507/8374?
Given fractions are 4710/517,1507/8374
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 4710/517,1507/8374, numerators are 4710,1507
Denominators are 517,8374
The GCF of 4710,1507 is 1 .
LCM of 517,8374 is 4329358.
The greatest common factor of 4710/517,1507/8374 = [GCF of 4710,1507]/[LCM of 517,8374]= 1/4329358
Therefore, the GCF of 4710/517,1507/8374 is 1/4329358.
To find the highest common factor of 4710,1507, we have to find the factors of both numbers and list the highest common factor.
The factors of 4710 are 1, 2, 3, 5, 6, 10, 15, 30, 157, 314, 471, 785, 942, 1570, 2355, 4710
The factors of 1507 are 1, 11, 137, 1507
The HCF of 4710,1507 is 1.
Lets's calculate GCF of 4710,1507
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4710,1507 By Matching Biggest Common Factor Method
Now, list down the factors of 4710
:1,2,3,5,6,10,15,30,157,314,471,785,942,1570,2355,4710
Now, list down the factors of 1507
:1,11,137,1507
Greatest Common Factor
We found the factors 4710,1507 . The biggest common factor number is the GCF number.
So the greatest common factor 4710,1507 is 1.
Lets's calculate LCM of 517,8374
Given numbers has no common factors except 1. So, there LCM is their product i.e 4329358
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4329358
Therefore, the GCF of Fractions 4710/517,1507/8374 is 1/4329358
Least Common Multiple of 517,8374 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 517,8374 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(517,8374) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(517,8374) x common factors =1 x 1 = 1
LCM(517,8374) = ( 517 × 8374 ) / 1
LCM(517,8374) = 4329358 / 1
LCM(517,8374) = 4329358
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FAQs on GCF of Fractions of 4710/517, 1507/8374
1. What is the HCF of 4710,1507?
The HCF of 4710,1507 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 4710/517, 1507/8374?
Answer: GCF of Numerators as per given numbers 4710/517, 1507/8374 is
GCF of Numerators i.e. for 4710,1507 is 1
LCM of denominators i.e. for 517,8374 is 4329358.
Thus, GCF of Fractions is 1/4329358.Finally, GCF of Fractions for 4710/517, 1507/8374 is 1/4329358.