GCF of 8681/902, 6510/9256
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8681/902, 6510/9256 i.e 1/4174456 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8681/902, 6510/9256.
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 8681/902,6510/9256?
Given fractions are 8681/902,6510/9256
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 8681/902,6510/9256, numerators are 8681,6510
Denominators are 902,9256
The GCF of 8681,6510 is 1 .
LCM of 902,9256 is 4174456.
The greatest common factor of 8681/902,6510/9256 = [GCF of 8681,6510]/[LCM of 902,9256]= 1/4174456
Therefore, the GCF of 8681/902,6510/9256 is 1/4174456.
To find the highest common factor of 8681,6510, we have to find the factors of both numbers and list the highest common factor.
The factors of 8681 are 1, 8681
The factors of 6510 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 31, 35, 42, 62, 70, 93, 105, 155, 186, 210, 217, 310, 434, 465, 651, 930, 1085, 1302, 2170, 3255, 6510
The HCF of 8681,6510 is 1.
Lets's calculate GCF of 8681,6510
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8681,6510 By Matching Biggest Common Factor Method
Now, list down the factors of 8681
:1,8681
Now, list down the factors of 6510
:1,2,3,5,6,7,10,14,15,21,30,31,35,42,62,70,93,105,155,186,210,217,310,434,465,651,930,1085,1302,2170,3255,6510
Greatest Common Factor
We found the factors 8681,6510 . The biggest common factor number is the GCF number.
So the greatest common factor 8681,6510 is 1.
Lets's calculate LCM of 902,9256
| 2 | 902, 9256 |
| 451, 4628 |
∴ So the LCM of the given numbers is 2 x 451 x 4628 = 4174456
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4174456
Therefore, the GCF of Fractions 8681/902,6510/9256 is 1/4174456
Least Common Multiple of 902,9256 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 902,9256 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(902,9256) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(902,9256) x common factors =2 x 1 = 2
LCM(902,9256) = ( 902 × 9256 ) / 2
LCM(902,9256) = 8348912 / 2
LCM(902,9256) = 4174456
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FAQs on GCF of Fractions of 8681/902, 6510/9256
1. What is the HCF of 8681,6510?
The HCF of 8681,6510 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 8681/902, 6510/9256?
Answer: GCF of Numerators as per given numbers 8681/902, 6510/9256 is
GCF of Numerators i.e. for 8681,6510 is 1
LCM of denominators i.e. for 902,9256 is 4174456.
Thus, GCF of Fractions is 1/4174456.Finally, GCF of Fractions for 8681/902, 6510/9256 is 1/4174456.