GCF of 8358/735, 8987/8510
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8358/735, 8987/8510 i.e 1/1250970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8358/735, 8987/8510.
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 8358/735,8987/8510?
Given fractions are 8358/735,8987/8510
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 8358/735,8987/8510, numerators are 8358,8987
Denominators are 735,8510
The GCF of 8358,8987 is 1 .
LCM of 735,8510 is 1250970.
The greatest common factor of 8358/735,8987/8510 = [GCF of 8358,8987]/[LCM of 735,8510]= 1/1250970
Therefore, the GCF of 8358/735,8987/8510 is 1/1250970.
To find the highest common factor of 8358,8987, we have to find the factors of both numbers and list the highest common factor.
The factors of 8358 are 1, 2, 3, 6, 7, 14, 21, 42, 199, 398, 597, 1194, 1393, 2786, 4179, 8358
The factors of 8987 are 1, 11, 19, 43, 209, 473, 817, 8987
The HCF of 8358,8987 is 1.
Lets's calculate GCF of 8358,8987
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8358,8987 By Matching Biggest Common Factor Method
Now, list down the factors of 8358
:1,2,3,6,7,14,21,42,199,398,597,1194,1393,2786,4179,8358
Now, list down the factors of 8987
:1,11,19,43,209,473,817,8987
Greatest Common Factor
We found the factors 8358,8987 . The biggest common factor number is the GCF number.
So the greatest common factor 8358,8987 is 1.
Lets's calculate LCM of 735,8510
| 5 | 735, 8510 |
| 147, 1702 |
∴ So the LCM of the given numbers is 5 x 147 x 1702 = 1250970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1250970
Therefore, the GCF of Fractions 8358/735,8987/8510 is 1/1250970
Least Common Multiple of 735,8510 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 735,8510 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(735,8510) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(735,8510) x common factors =5 x 1 = 5
LCM(735,8510) = ( 735 × 8510 ) / 5
LCM(735,8510) = 6254850 / 5
LCM(735,8510) = 1250970
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FAQs on GCF of Fractions of 8358/735, 8987/8510
1. What is the HCF of 8358,8987?
The HCF of 8358,8987 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 8358/735, 8987/8510?
Answer: GCF of Numerators as per given numbers 8358/735, 8987/8510 is
GCF of Numerators i.e. for 8358,8987 is 1
LCM of denominators i.e. for 735,8510 is 1250970.
Thus, GCF of Fractions is 1/1250970.Finally, GCF of Fractions for 8358/735, 8987/8510 is 1/1250970.