GCF of 1417/555, 3120/981
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1417/555, 3120/981 i.e 13/181485 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1417/555, 3120/981.
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 1417/555,3120/981?
Given fractions are 1417/555,3120/981
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 1417/555,3120/981, numerators are 1417,3120
Denominators are 555,981
The GCF of 1417,3120 is 13 .
LCM of 555,981 is 181485.
The greatest common factor of 1417/555,3120/981 = [GCF of 1417,3120]/[LCM of 555,981]= 13/181485
Therefore, the GCF of 1417/555,3120/981 is 13/181485.
To find the highest common factor of 1417,3120, we have to find the factors of both numbers and list the highest common factor.
The factors of 1417 are 1, 13, 109, 1417
The factors of 3120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 16, 20, 24, 26, 30, 39, 40, 48, 52, 60, 65, 78, 80, 104, 120, 130, 156, 195, 208, 240, 260, 312, 390, 520, 624, 780, 1040, 1560, 3120
The HCF of 1417,3120 is 13.
Lets's calculate GCF of 1417,3120
| 13 | 1417, 3120 |
| 109, 240 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 1417,3120 By Matching Biggest Common Factor Method
Now, list down the factors of 1417
:1,13,109,1417
Now, list down the factors of 3120
:1,2,3,4,5,6,8,10,12,13,15,16,20,24,26,30,39,40,48,52,60,65,78,80,104,120,130,156,195,208,240,260,312,390,520,624,780,1040,1560,3120
Greatest Common Factor
We found the factors 1417,3120 . The biggest common factor number is the GCF number.
So the greatest common factor 1417,3120 is 13.
Lets's calculate LCM of 555,981
| 3 | 555, 981 |
| 185, 327 |
∴ So the LCM of the given numbers is 3 x 185 x 327 = 181485
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/181485
Therefore, the GCF of Fractions 1417/555,3120/981 is 13/181485
Least Common Multiple of 555,981 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 555,981 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(555,981) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(555,981) x common factors =3 x 1 = 3
LCM(555,981) = ( 555 × 981 ) / 3
LCM(555,981) = 544455 / 3
LCM(555,981) = 181485
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FAQs on GCF of Fractions of 1417/555, 3120/981
1. What is the HCF of 1417,3120?
The HCF of 1417,3120 is 13
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 1417/555, 3120/981?
Answer: GCF of Numerators as per given numbers 1417/555, 3120/981 is
GCF of Numerators i.e. for 1417,3120 is 13
LCM of denominators i.e. for 555,981 is 181485.
Thus, GCF of Fractions is 13/181485.Finally, GCF of Fractions for 1417/555, 3120/981 is 13/181485.