GCF of 1380/390, 3540/8977
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1380/390, 3540/8977 i.e 60/3501030 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1380/390, 3540/8977.
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 1380/390,3540/8977?
Given fractions are 1380/390,3540/8977
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 1380/390,3540/8977, numerators are 1380,3540
Denominators are 390,8977
The GCF of 1380,3540 is 60 .
LCM of 390,8977 is 3501030.
The greatest common factor of 1380/390,3540/8977 = [GCF of 1380,3540]/[LCM of 390,8977]= 60/3501030
Therefore, the GCF of 1380/390,3540/8977 is 60/3501030.
To find the highest common factor of 1380,3540, we have to find the factors of both numbers and list the highest common factor.
The factors of 1380 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 30, 46, 60, 69, 92, 115, 138, 230, 276, 345, 460, 690, 1380
The factors of 3540 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 59, 60, 118, 177, 236, 295, 354, 590, 708, 885, 1180, 1770, 3540
The HCF of 1380,3540 is 60.
Lets's calculate GCF of 1380,3540
| 2 | 1380, 3540 |
| 2 | 690, 1770 |
| 3 | 345, 885 |
| 5 | 115, 295 |
| 23, 59 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 5 = 60
Greatest Common Factor of 1380,3540 By Matching Biggest Common Factor Method
Now, list down the factors of 1380
:1,2,3,4,5,6,10,12,15,20,23,30,46,60,69,92,115,138,230,276,345,460,690,1380
Now, list down the factors of 3540
:1,2,3,4,5,6,10,12,15,20,30,59,60,118,177,236,295,354,590,708,885,1180,1770,3540
Greatest Common Factor
We found the factors 1380,3540 . The biggest common factor number is the GCF number.
So the greatest common factor 1380,3540 is 60.
Lets's calculate LCM of 390,8977
Given numbers has no common factors except 1. So, there LCM is their product i.e 3501030
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 60/3501030
Therefore, the GCF of Fractions 1380/390,3540/8977 is 60/3501030
Least Common Multiple of 390,8977 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 390,8977 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(390,8977) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(390,8977) x common factors =1 x 1 = 1
LCM(390,8977) = ( 390 × 8977 ) / 1
LCM(390,8977) = 3501030 / 1
LCM(390,8977) = 3501030
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FAQs on GCF of Fractions of 1380/390, 3540/8977
1. What is the HCF of 1380,3540?
The HCF of 1380,3540 is 60
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 1380/390, 3540/8977?
Answer: GCF of Numerators as per given numbers 1380/390, 3540/8977 is
GCF of Numerators i.e. for 1380,3540 is 60
LCM of denominators i.e. for 390,8977 is 3501030.
Thus, GCF of Fractions is 60/3501030.Finally, GCF of Fractions for 1380/390, 3540/8977 is 60/3501030.