GCF of 898/883, 136/985
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 898/883, 136/985 i.e 2/869755 easily. The following is the detailed procedure to determine the greatest common factor of fractions 898/883, 136/985.
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 898/883,136/985?
Given fractions are 898/883,136/985
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 898/883,136/985, numerators are 898,136
Denominators are 883,985
The GCF of 898,136 is 2 .
LCM of 883,985 is 869755.
The greatest common factor of 898/883,136/985 = [GCF of 898,136]/[LCM of 883,985]= 2/869755
Therefore, the GCF of 898/883,136/985 is 2/869755.
To find the highest common factor of 898,136, we have to find the factors of both numbers and list the highest common factor.
The factors of 898 are 1, 2, 449, 898
The factors of 136 are 1, 2, 4, 8, 17, 34, 68, 136
The HCF of 898,136 is 2.
Lets's calculate GCF of 898,136
| 2 | 898, 136 |
| 449, 68 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 898,136 By Matching Biggest Common Factor Method
Now, list down the factors of 898
:1,2,449,898
Now, list down the factors of 136
:1,2,4,8,17,34,68,136
Greatest Common Factor
We found the factors 898,136 . The biggest common factor number is the GCF number.
So the greatest common factor 898,136 is 2.
Lets's calculate LCM of 883,985
Given numbers has no common factors except 1. So, there LCM is their product i.e 869755
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/869755
Therefore, the GCF of Fractions 898/883,136/985 is 2/869755
Least Common Multiple of 883,985 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 883,985 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(883,985) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(883,985) x common factors =1 x 1 = 1
LCM(883,985) = ( 883 × 985 ) / 1
LCM(883,985) = 869755 / 1
LCM(883,985) = 869755
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FAQs on GCF of Fractions of 898/883, 136/985
1. What is the HCF of 898,136?
The HCF of 898,136 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 898/883, 136/985?
Answer: GCF of Numerators as per given numbers 898/883, 136/985 is
GCF of Numerators i.e. for 898,136 is 2
LCM of denominators i.e. for 883,985 is 869755.
Thus, GCF of Fractions is 2/869755.Finally, GCF of Fractions for 898/883, 136/985 is 2/869755.