GCF of 1377/318, 3114/720
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1377/318, 3114/720 i.e 9/38160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1377/318, 3114/720.
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 1377/318,3114/720?
Given fractions are 1377/318,3114/720
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 1377/318,3114/720, numerators are 1377,3114
Denominators are 318,720
The GCF of 1377,3114 is 9 .
LCM of 318,720 is 38160.
The greatest common factor of 1377/318,3114/720 = [GCF of 1377,3114]/[LCM of 318,720]= 9/38160
Therefore, the GCF of 1377/318,3114/720 is 9/38160.
To find the highest common factor of 1377,3114, we have to find the factors of both numbers and list the highest common factor.
The factors of 1377 are 1, 3, 9, 17, 27, 51, 81, 153, 459, 1377
The factors of 3114 are 1, 2, 3, 6, 9, 18, 173, 346, 519, 1038, 1557, 3114
The HCF of 1377,3114 is 9.
Lets's calculate GCF of 1377,3114
| 3 | 1377, 3114 |
| 3 | 459, 1038 |
| 153, 346 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 1377,3114 By Matching Biggest Common Factor Method
Now, list down the factors of 1377
:1,3,9,17,27,51,81,153,459,1377
Now, list down the factors of 3114
:1,2,3,6,9,18,173,346,519,1038,1557,3114
Greatest Common Factor
We found the factors 1377,3114 . The biggest common factor number is the GCF number.
So the greatest common factor 1377,3114 is 9.
Lets's calculate LCM of 318,720
| 2 | 318, 720 |
| 3 | 159, 360 |
| 53, 120 |
∴ So the LCM of the given numbers is 2 x 3 x 53 x 120 = 38160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/38160
Therefore, the GCF of Fractions 1377/318,3114/720 is 9/38160
Least Common Multiple of 318,720 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 318,720 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(318,720) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(318,720) x common factors =6 x 1 = 6
LCM(318,720) = ( 318 × 720 ) / 6
LCM(318,720) = 228960 / 6
LCM(318,720) = 38160
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FAQs on GCF of Fractions of 1377/318, 3114/720
1. What is the HCF of 1377,3114?
The HCF of 1377,3114 is 9
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 1377/318, 3114/720?
Answer: GCF of Numerators as per given numbers 1377/318, 3114/720 is
GCF of Numerators i.e. for 1377,3114 is 9
LCM of denominators i.e. for 318,720 is 38160.
Thus, GCF of Fractions is 9/38160.Finally, GCF of Fractions for 1377/318, 3114/720 is 9/38160.