GCF of 68/147, 2318/8216
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 68/147, 2318/8216 i.e 2/1207752 easily. The following is the detailed procedure to determine the greatest common factor of fractions 68/147, 2318/8216.
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 68/147,2318/8216?
Given fractions are 68/147,2318/8216
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 68/147,2318/8216, numerators are 68,2318
Denominators are 147,8216
The GCF of 68,2318 is 2 .
LCM of 147,8216 is 1207752.
The greatest common factor of 68/147,2318/8216 = [GCF of 68,2318]/[LCM of 147,8216]= 2/1207752
Therefore, the GCF of 68/147,2318/8216 is 2/1207752.
To find the highest common factor of 68,2318, we have to find the factors of both numbers and list the highest common factor.
The factors of 68 are 1, 2, 4, 17, 34, 68
The factors of 2318 are 1, 2, 19, 38, 61, 122, 1159, 2318
The HCF of 68,2318 is 2.
Lets's calculate GCF of 68,2318
| 2 | 68, 2318 |
| 34, 1159 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 68,2318 By Matching Biggest Common Factor Method
Now, list down the factors of 68
:1,2,4,17,34,68
Now, list down the factors of 2318
:1,2,19,38,61,122,1159,2318
Greatest Common Factor
We found the factors 68,2318 . The biggest common factor number is the GCF number.
So the greatest common factor 68,2318 is 2.
Lets's calculate LCM of 147,8216
Given numbers has no common factors except 1. So, there LCM is their product i.e 1207752
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1207752
Therefore, the GCF of Fractions 68/147,2318/8216 is 2/1207752
Least Common Multiple of 147,8216 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 147,8216 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(147,8216) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(147,8216) x common factors =1 x 1 = 1
LCM(147,8216) = ( 147 × 8216 ) / 1
LCM(147,8216) = 1207752 / 1
LCM(147,8216) = 1207752
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FAQs on GCF of Fractions of 68/147, 2318/8216
1. What is the HCF of 68,2318?
The HCF of 68,2318 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 68/147, 2318/8216?
Answer: GCF of Numerators as per given numbers 68/147, 2318/8216 is
GCF of Numerators i.e. for 68,2318 is 2
LCM of denominators i.e. for 147,8216 is 1207752.
Thus, GCF of Fractions is 2/1207752.Finally, GCF of Fractions for 68/147, 2318/8216 is 2/1207752.