GCF of 8917/256, 9890/8548
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8917/256, 9890/8548 i.e 1/547072 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8917/256, 9890/8548.
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 8917/256,9890/8548?
Given fractions are 8917/256,9890/8548
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 8917/256,9890/8548, numerators are 8917,9890
Denominators are 256,8548
The GCF of 8917,9890 is 1 .
LCM of 256,8548 is 547072.
The greatest common factor of 8917/256,9890/8548 = [GCF of 8917,9890]/[LCM of 256,8548]= 1/547072
Therefore, the GCF of 8917/256,9890/8548 is 1/547072.
To find the highest common factor of 8917,9890, we have to find the factors of both numbers and list the highest common factor.
The factors of 8917 are 1, 37, 241, 8917
The factors of 9890 are 1, 2, 5, 10, 23, 43, 46, 86, 115, 215, 230, 430, 989, 1978, 4945, 9890
The HCF of 8917,9890 is 1.
Lets's calculate GCF of 8917,9890
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8917,9890 By Matching Biggest Common Factor Method
Now, list down the factors of 8917
:1,37,241,8917
Now, list down the factors of 9890
:1,2,5,10,23,43,46,86,115,215,230,430,989,1978,4945,9890
Greatest Common Factor
We found the factors 8917,9890 . The biggest common factor number is the GCF number.
So the greatest common factor 8917,9890 is 1.
Lets's calculate LCM of 256,8548
| 2 | 256, 8548 |
| 2 | 128, 4274 |
| 64, 2137 |
∴ So the LCM of the given numbers is 2 x 2 x 64 x 2137 = 547072
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/547072
Therefore, the GCF of Fractions 8917/256,9890/8548 is 1/547072
Least Common Multiple of 256,8548 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 256,8548 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(256,8548) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(256,8548) x common factors =4 x 1 = 4
LCM(256,8548) = ( 256 × 8548 ) / 4
LCM(256,8548) = 2188288 / 4
LCM(256,8548) = 547072
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FAQs on GCF of Fractions of 8917/256, 9890/8548
1. What is the HCF of 8917,9890?
The HCF of 8917,9890 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 8917/256, 9890/8548?
Answer: GCF of Numerators as per given numbers 8917/256, 9890/8548 is
GCF of Numerators i.e. for 8917,9890 is 1
LCM of denominators i.e. for 256,8548 is 547072.
Thus, GCF of Fractions is 1/547072.Finally, GCF of Fractions for 8917/256, 9890/8548 is 1/547072.