GCF of 168/491, 1127/277
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 168/491, 1127/277 i.e 7/136007 easily. The following is the detailed procedure to determine the greatest common factor of fractions 168/491, 1127/277.
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 168/491,1127/277?
Given fractions are 168/491,1127/277
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 168/491,1127/277, numerators are 168,1127
Denominators are 491,277
The GCF of 168,1127 is 7 .
LCM of 491,277 is 136007.
The greatest common factor of 168/491,1127/277 = [GCF of 168,1127]/[LCM of 491,277]= 7/136007
Therefore, the GCF of 168/491,1127/277 is 7/136007.
To find the highest common factor of 168,1127, we have to find the factors of both numbers and list the highest common factor.
The factors of 168 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
The factors of 1127 are 1, 7, 23, 49, 161, 1127
The HCF of 168,1127 is 7.
Lets's calculate GCF of 168,1127
| 7 | 168, 1127 |
| 24, 161 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 168,1127 By Matching Biggest Common Factor Method
Now, list down the factors of 168
:1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168
Now, list down the factors of 1127
:1,7,23,49,161,1127
Greatest Common Factor
We found the factors 168,1127 . The biggest common factor number is the GCF number.
So the greatest common factor 168,1127 is 7.
Lets's calculate LCM of 491,277
Given numbers has no common factors except 1. So, there LCM is their product i.e 136007
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/136007
Therefore, the GCF of Fractions 168/491,1127/277 is 7/136007
Least Common Multiple of 491,277 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 491,277 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(491,277) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(491,277) x common factors =1 x 1 = 1
LCM(491,277) = ( 491 × 277 ) / 1
LCM(491,277) = 136007 / 1
LCM(491,277) = 136007
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FAQs on GCF of Fractions of 168/491, 1127/277
1. What is the HCF of 168,1127?
The HCF of 168,1127 is 7
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 168/491, 1127/277?
Answer: GCF of Numerators as per given numbers 168/491, 1127/277 is
GCF of Numerators i.e. for 168,1127 is 7
LCM of denominators i.e. for 491,277 is 136007.
Thus, GCF of Fractions is 7/136007.Finally, GCF of Fractions for 168/491, 1127/277 is 7/136007.