GCF of 1154/334, 8658/100
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1154/334, 8658/100 i.e 2/16700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1154/334, 8658/100.
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 1154/334,8658/100?
Given fractions are 1154/334,8658/100
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 1154/334,8658/100, numerators are 1154,8658
Denominators are 334,100
The GCF of 1154,8658 is 2 .
LCM of 334,100 is 16700.
The greatest common factor of 1154/334,8658/100 = [GCF of 1154,8658]/[LCM of 334,100]= 2/16700
Therefore, the GCF of 1154/334,8658/100 is 2/16700.
To find the highest common factor of 1154,8658, we have to find the factors of both numbers and list the highest common factor.
The factors of 1154 are 1, 2, 577, 1154
The factors of 8658 are 1, 2, 3, 6, 9, 13, 18, 26, 37, 39, 74, 78, 111, 117, 222, 234, 333, 481, 666, 962, 1443, 2886, 4329, 8658
The HCF of 1154,8658 is 2.
Lets's calculate GCF of 1154,8658
| 2 | 1154, 8658 |
| 577, 4329 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1154,8658 By Matching Biggest Common Factor Method
Now, list down the factors of 1154
:1,2,577,1154
Now, list down the factors of 8658
:1,2,3,6,9,13,18,26,37,39,74,78,111,117,222,234,333,481,666,962,1443,2886,4329,8658
Greatest Common Factor
We found the factors 1154,8658 . The biggest common factor number is the GCF number.
So the greatest common factor 1154,8658 is 2.
Lets's calculate LCM of 334,100
| 2 | 334, 100 |
| 167, 50 |
∴ So the LCM of the given numbers is 2 x 167 x 50 = 16700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/16700
Therefore, the GCF of Fractions 1154/334,8658/100 is 2/16700
Least Common Multiple of 334,100 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 334,100 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(334,100) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(334,100) x common factors =2 x 1 = 2
LCM(334,100) = ( 334 × 100 ) / 2
LCM(334,100) = 33400 / 2
LCM(334,100) = 16700
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FAQs on GCF of Fractions of 1154/334, 8658/100
1. What is the HCF of 1154,8658?
The HCF of 1154,8658 is 2
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 1154/334, 8658/100?
Answer: GCF of Numerators as per given numbers 1154/334, 8658/100 is
GCF of Numerators i.e. for 1154,8658 is 2
LCM of denominators i.e. for 334,100 is 16700.
Thus, GCF of Fractions is 2/16700.Finally, GCF of Fractions for 1154/334, 8658/100 is 2/16700.