GCF of 8923/949, 8510/9851
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8923/949, 8510/9851 i.e 1/9348599 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8923/949, 8510/9851.
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 8923/949,8510/9851?
Given fractions are 8923/949,8510/9851
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 8923/949,8510/9851, numerators are 8923,8510
Denominators are 949,9851
The GCF of 8923,8510 is 1 .
LCM of 949,9851 is 9348599.
The greatest common factor of 8923/949,8510/9851 = [GCF of 8923,8510]/[LCM of 949,9851]= 1/9348599
Therefore, the GCF of 8923/949,8510/9851 is 1/9348599.
To find the highest common factor of 8923,8510, we have to find the factors of both numbers and list the highest common factor.
The factors of 8923 are 1, 8923
The factors of 8510 are 1, 2, 5, 10, 23, 37, 46, 74, 115, 185, 230, 370, 851, 1702, 4255, 8510
The HCF of 8923,8510 is 1.
Lets's calculate GCF of 8923,8510
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8923,8510 By Matching Biggest Common Factor Method
Now, list down the factors of 8923
:1,8923
Now, list down the factors of 8510
:1,2,5,10,23,37,46,74,115,185,230,370,851,1702,4255,8510
Greatest Common Factor
We found the factors 8923,8510 . The biggest common factor number is the GCF number.
So the greatest common factor 8923,8510 is 1.
Lets's calculate LCM of 949,9851
Given numbers has no common factors except 1. So, there LCM is their product i.e 9348599
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9348599
Therefore, the GCF of Fractions 8923/949,8510/9851 is 1/9348599
Least Common Multiple of 949,9851 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 949,9851 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(949,9851) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(949,9851) x common factors =1 x 1 = 1
LCM(949,9851) = ( 949 × 9851 ) / 1
LCM(949,9851) = 9348599 / 1
LCM(949,9851) = 9348599
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FAQs on GCF of Fractions of 8923/949, 8510/9851
1. What is the HCF of 8923,8510?
The HCF of 8923,8510 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 8923/949, 8510/9851?
Answer: GCF of Numerators as per given numbers 8923/949, 8510/9851 is
GCF of Numerators i.e. for 8923,8510 is 1
LCM of denominators i.e. for 949,9851 is 9348599.
Thus, GCF of Fractions is 1/9348599.Finally, GCF of Fractions for 8923/949, 8510/9851 is 1/9348599.