GCF of 8701/749, 4604/2652
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8701/749, 4604/2652 i.e 1/1986348 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8701/749, 4604/2652.
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 8701/749,4604/2652?
Given fractions are 8701/749,4604/2652
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 8701/749,4604/2652, numerators are 8701,4604
Denominators are 749,2652
The GCF of 8701,4604 is 1 .
LCM of 749,2652 is 1986348.
The greatest common factor of 8701/749,4604/2652 = [GCF of 8701,4604]/[LCM of 749,2652]= 1/1986348
Therefore, the GCF of 8701/749,4604/2652 is 1/1986348.
To find the highest common factor of 8701,4604, we have to find the factors of both numbers and list the highest common factor.
The factors of 8701 are 1, 7, 11, 77, 113, 791, 1243, 8701
The factors of 4604 are 1, 2, 4, 1151, 2302, 4604
The HCF of 8701,4604 is 1.
Lets's calculate GCF of 8701,4604
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8701,4604 By Matching Biggest Common Factor Method
Now, list down the factors of 8701
:1,7,11,77,113,791,1243,8701
Now, list down the factors of 4604
:1,2,4,1151,2302,4604
Greatest Common Factor
We found the factors 8701,4604 . The biggest common factor number is the GCF number.
So the greatest common factor 8701,4604 is 1.
Lets's calculate LCM of 749,2652
Given numbers has no common factors except 1. So, there LCM is their product i.e 1986348
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1986348
Therefore, the GCF of Fractions 8701/749,4604/2652 is 1/1986348
Least Common Multiple of 749,2652 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 749,2652 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(749,2652) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(749,2652) x common factors =1 x 1 = 1
LCM(749,2652) = ( 749 × 2652 ) / 1
LCM(749,2652) = 1986348 / 1
LCM(749,2652) = 1986348
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FAQs on GCF of Fractions of 8701/749, 4604/2652
1. What is the HCF of 8701,4604?
The HCF of 8701,4604 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 8701/749, 4604/2652?
Answer: GCF of Numerators as per given numbers 8701/749, 4604/2652 is
GCF of Numerators i.e. for 8701,4604 is 1
LCM of denominators i.e. for 749,2652 is 1986348.
Thus, GCF of Fractions is 1/1986348.Finally, GCF of Fractions for 8701/749, 4604/2652 is 1/1986348.