GCF of 8987/634, 9385/9678
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8987/634, 9385/9678 i.e 1/3067926 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8987/634, 9385/9678.
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 8987/634,9385/9678?
Given fractions are 8987/634,9385/9678
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 8987/634,9385/9678, numerators are 8987,9385
Denominators are 634,9678
The GCF of 8987,9385 is 1 .
LCM of 634,9678 is 3067926.
The greatest common factor of 8987/634,9385/9678 = [GCF of 8987,9385]/[LCM of 634,9678]= 1/3067926
Therefore, the GCF of 8987/634,9385/9678 is 1/3067926.
To find the highest common factor of 8987,9385, we have to find the factors of both numbers and list the highest common factor.
The factors of 8987 are 1, 11, 19, 43, 209, 473, 817, 8987
The factors of 9385 are 1, 5, 1877, 9385
The HCF of 8987,9385 is 1.
Lets's calculate GCF of 8987,9385
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8987,9385 By Matching Biggest Common Factor Method
Now, list down the factors of 8987
:1,11,19,43,209,473,817,8987
Now, list down the factors of 9385
:1,5,1877,9385
Greatest Common Factor
We found the factors 8987,9385 . The biggest common factor number is the GCF number.
So the greatest common factor 8987,9385 is 1.
Lets's calculate LCM of 634,9678
| 2 | 634, 9678 |
| 317, 4839 |
∴ So the LCM of the given numbers is 2 x 317 x 4839 = 3067926
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3067926
Therefore, the GCF of Fractions 8987/634,9385/9678 is 1/3067926
Least Common Multiple of 634,9678 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 634,9678 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(634,9678) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(634,9678) x common factors =2 x 1 = 2
LCM(634,9678) = ( 634 × 9678 ) / 2
LCM(634,9678) = 6135852 / 2
LCM(634,9678) = 3067926
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FAQs on GCF of Fractions of 8987/634, 9385/9678
1. What is the HCF of 8987,9385?
The HCF of 8987,9385 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 8987/634, 9385/9678?
Answer: GCF of Numerators as per given numbers 8987/634, 9385/9678 is
GCF of Numerators i.e. for 8987,9385 is 1
LCM of denominators i.e. for 634,9678 is 3067926.
Thus, GCF of Fractions is 1/3067926.Finally, GCF of Fractions for 8987/634, 9385/9678 is 1/3067926.