GCF of 8701/673, 2504/7642
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8701/673, 2504/7642 i.e 1/5143066 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8701/673, 2504/7642.
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 8701/673,2504/7642?
Given fractions are 8701/673,2504/7642
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 8701/673,2504/7642, numerators are 8701,2504
Denominators are 673,7642
The GCF of 8701,2504 is 1 .
LCM of 673,7642 is 5143066.
The greatest common factor of 8701/673,2504/7642 = [GCF of 8701,2504]/[LCM of 673,7642]= 1/5143066
Therefore, the GCF of 8701/673,2504/7642 is 1/5143066.
To find the highest common factor of 8701,2504, 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 2504 are 1, 2, 4, 8, 313, 626, 1252, 2504
The HCF of 8701,2504 is 1.
Lets's calculate GCF of 8701,2504
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8701,2504 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 2504
:1,2,4,8,313,626,1252,2504
Greatest Common Factor
We found the factors 8701,2504 . The biggest common factor number is the GCF number.
So the greatest common factor 8701,2504 is 1.
Lets's calculate LCM of 673,7642
Given numbers has no common factors except 1. So, there LCM is their product i.e 5143066
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5143066
Therefore, the GCF of Fractions 8701/673,2504/7642 is 1/5143066
Least Common Multiple of 673,7642 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 673,7642 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(673,7642) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(673,7642) x common factors =1 x 1 = 1
LCM(673,7642) = ( 673 × 7642 ) / 1
LCM(673,7642) = 5143066 / 1
LCM(673,7642) = 5143066
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FAQs on GCF of Fractions of 8701/673, 2504/7642
1. What is the HCF of 8701,2504?
The HCF of 8701,2504 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 8701/673, 2504/7642?
Answer: GCF of Numerators as per given numbers 8701/673, 2504/7642 is
GCF of Numerators i.e. for 8701,2504 is 1
LCM of denominators i.e. for 673,7642 is 5143066.
Thus, GCF of Fractions is 1/5143066.Finally, GCF of Fractions for 8701/673, 2504/7642 is 1/5143066.