GCF of 1248/615, 2392/9280
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1248/615, 2392/9280 i.e 104/1141440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1248/615, 2392/9280.
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 1248/615,2392/9280?
Given fractions are 1248/615,2392/9280
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 1248/615,2392/9280, numerators are 1248,2392
Denominators are 615,9280
The GCF of 1248,2392 is 104 .
LCM of 615,9280 is 1141440.
The greatest common factor of 1248/615,2392/9280 = [GCF of 1248,2392]/[LCM of 615,9280]= 104/1141440
Therefore, the GCF of 1248/615,2392/9280 is 104/1141440.
To find the highest common factor of 1248,2392, we have to find the factors of both numbers and list the highest common factor.
The factors of 1248 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 78, 96, 104, 156, 208, 312, 416, 624, 1248
The factors of 2392 are 1, 2, 4, 8, 13, 23, 26, 46, 52, 92, 104, 184, 299, 598, 1196, 2392
The HCF of 1248,2392 is 104.
Lets's calculate GCF of 1248,2392
| 2 | 1248, 2392 |
| 2 | 624, 1196 |
| 2 | 312, 598 |
| 13 | 156, 299 |
| 12, 23 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 13 = 104
Greatest Common Factor of 1248,2392 By Matching Biggest Common Factor Method
Now, list down the factors of 1248
:1,2,3,4,6,8,12,13,16,24,26,32,39,48,52,78,96,104,156,208,312,416,624,1248
Now, list down the factors of 2392
:1,2,4,8,13,23,26,46,52,92,104,184,299,598,1196,2392
Greatest Common Factor
We found the factors 1248,2392 . The biggest common factor number is the GCF number.
So the greatest common factor 1248,2392 is 104.
Lets's calculate LCM of 615,9280
| 5 | 615, 9280 |
| 123, 1856 |
∴ So the LCM of the given numbers is 5 x 123 x 1856 = 1141440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 104/1141440
Therefore, the GCF of Fractions 1248/615,2392/9280 is 104/1141440
Least Common Multiple of 615,9280 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 615,9280 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(615,9280) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(615,9280) x common factors =5 x 1 = 5
LCM(615,9280) = ( 615 × 9280 ) / 5
LCM(615,9280) = 5707200 / 5
LCM(615,9280) = 1141440
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FAQs on GCF of Fractions of 1248/615, 2392/9280
1. What is the HCF of 1248,2392?
The HCF of 1248,2392 is 104
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 1248/615, 2392/9280?
Answer: GCF of Numerators as per given numbers 1248/615, 2392/9280 is
GCF of Numerators i.e. for 1248,2392 is 104
LCM of denominators i.e. for 615,9280 is 1141440.
Thus, GCF of Fractions is 104/1141440.Finally, GCF of Fractions for 1248/615, 2392/9280 is 104/1141440.