GCF of 4548/514, 9996/265
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4548/514, 9996/265 i.e 12/136210 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4548/514, 9996/265.
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 4548/514,9996/265?
Given fractions are 4548/514,9996/265
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 4548/514,9996/265, numerators are 4548,9996
Denominators are 514,265
The GCF of 4548,9996 is 12 .
LCM of 514,265 is 136210.
The greatest common factor of 4548/514,9996/265 = [GCF of 4548,9996]/[LCM of 514,265]= 12/136210
Therefore, the GCF of 4548/514,9996/265 is 12/136210.
To find the highest common factor of 4548,9996, we have to find the factors of both numbers and list the highest common factor.
The factors of 4548 are 1, 2, 3, 4, 6, 12, 379, 758, 1137, 1516, 2274, 4548
The factors of 9996 are 1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 28, 34, 42, 49, 51, 68, 84, 98, 102, 119, 147, 196, 204, 238, 294, 357, 476, 588, 714, 833, 1428, 1666, 2499, 3332, 4998, 9996
The HCF of 4548,9996 is 12.
Lets's calculate GCF of 4548,9996
| 2 | 4548, 9996 |
| 2 | 2274, 4998 |
| 3 | 1137, 2499 |
| 379, 833 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 4548,9996 By Matching Biggest Common Factor Method
Now, list down the factors of 4548
:1,2,3,4,6,12,379,758,1137,1516,2274,4548
Now, list down the factors of 9996
:1,2,3,4,6,7,12,14,17,21,28,34,42,49,51,68,84,98,102,119,147,196,204,238,294,357,476,588,714,833,1428,1666,2499,3332,4998,9996
Greatest Common Factor
We found the factors 4548,9996 . The biggest common factor number is the GCF number.
So the greatest common factor 4548,9996 is 12.
Lets's calculate LCM of 514,265
Given numbers has no common factors except 1. So, there LCM is their product i.e 136210
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/136210
Therefore, the GCF of Fractions 4548/514,9996/265 is 12/136210
Least Common Multiple of 514,265 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 514,265 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(514,265) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(514,265) x common factors =1 x 1 = 1
LCM(514,265) = ( 514 × 265 ) / 1
LCM(514,265) = 136210 / 1
LCM(514,265) = 136210
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FAQs on GCF of Fractions of 4548/514, 9996/265
1. What is the HCF of 4548,9996?
The HCF of 4548,9996 is 12
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 4548/514, 9996/265?
Answer: GCF of Numerators as per given numbers 4548/514, 9996/265 is
GCF of Numerators i.e. for 4548,9996 is 12
LCM of denominators i.e. for 514,265 is 136210.
Thus, GCF of Fractions is 12/136210.Finally, GCF of Fractions for 4548/514, 9996/265 is 12/136210.