GCF of 1367/154, 5388/6516
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1367/154, 5388/6516 i.e 1/501732 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1367/154, 5388/6516.
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 1367/154,5388/6516?
Given fractions are 1367/154,5388/6516
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 1367/154,5388/6516, numerators are 1367,5388
Denominators are 154,6516
The GCF of 1367,5388 is 1 .
LCM of 154,6516 is 501732.
The greatest common factor of 1367/154,5388/6516 = [GCF of 1367,5388]/[LCM of 154,6516]= 1/501732
Therefore, the GCF of 1367/154,5388/6516 is 1/501732.
To find the highest common factor of 1367,5388, we have to find the factors of both numbers and list the highest common factor.
The factors of 1367 are 1, 1367
The factors of 5388 are 1, 2, 3, 4, 6, 12, 449, 898, 1347, 1796, 2694, 5388
The HCF of 1367,5388 is 1.
Lets's calculate GCF of 1367,5388
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1367,5388 By Matching Biggest Common Factor Method
Now, list down the factors of 1367
:1,1367
Now, list down the factors of 5388
:1,2,3,4,6,12,449,898,1347,1796,2694,5388
Greatest Common Factor
We found the factors 1367,5388 . The biggest common factor number is the GCF number.
So the greatest common factor 1367,5388 is 1.
Lets's calculate LCM of 154,6516
| 2 | 154, 6516 |
| 77, 3258 |
∴ So the LCM of the given numbers is 2 x 77 x 3258 = 501732
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/501732
Therefore, the GCF of Fractions 1367/154,5388/6516 is 1/501732
Least Common Multiple of 154,6516 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 154,6516 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(154,6516) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(154,6516) x common factors =2 x 1 = 2
LCM(154,6516) = ( 154 × 6516 ) / 2
LCM(154,6516) = 1003464 / 2
LCM(154,6516) = 501732
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FAQs on GCF of Fractions of 1367/154, 5388/6516
1. What is the HCF of 1367,5388?
The HCF of 1367,5388 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 1367/154, 5388/6516?
Answer: GCF of Numerators as per given numbers 1367/154, 5388/6516 is
GCF of Numerators i.e. for 1367,5388 is 1
LCM of denominators i.e. for 154,6516 is 501732.
Thus, GCF of Fractions is 1/501732.Finally, GCF of Fractions for 1367/154, 5388/6516 is 1/501732.