GCF of 1104/277, 9968/359
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1104/277, 9968/359 i.e 16/99443 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1104/277, 9968/359.
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 1104/277,9968/359?
Given fractions are 1104/277,9968/359
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 1104/277,9968/359, numerators are 1104,9968
Denominators are 277,359
The GCF of 1104,9968 is 16 .
LCM of 277,359 is 99443.
The greatest common factor of 1104/277,9968/359 = [GCF of 1104,9968]/[LCM of 277,359]= 16/99443
Therefore, the GCF of 1104/277,9968/359 is 16/99443.
To find the highest common factor of 1104,9968, we have to find the factors of both numbers and list the highest common factor.
The factors of 1104 are 1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 46, 48, 69, 92, 138, 184, 276, 368, 552, 1104
The factors of 9968 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 89, 112, 178, 356, 623, 712, 1246, 1424, 2492, 4984, 9968
The HCF of 1104,9968 is 16.
Lets's calculate GCF of 1104,9968
| 2 | 1104, 9968 |
| 2 | 552, 4984 |
| 2 | 276, 2492 |
| 2 | 138, 1246 |
| 69, 623 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 1104,9968 By Matching Biggest Common Factor Method
Now, list down the factors of 1104
:1,2,3,4,6,8,12,16,23,24,46,48,69,92,138,184,276,368,552,1104
Now, list down the factors of 9968
:1,2,4,7,8,14,16,28,56,89,112,178,356,623,712,1246,1424,2492,4984,9968
Greatest Common Factor
We found the factors 1104,9968 . The biggest common factor number is the GCF number.
So the greatest common factor 1104,9968 is 16.
Lets's calculate LCM of 277,359
Given numbers has no common factors except 1. So, there LCM is their product i.e 99443
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/99443
Therefore, the GCF of Fractions 1104/277,9968/359 is 16/99443
Least Common Multiple of 277,359 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 277,359 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(277,359) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(277,359) x common factors =1 x 1 = 1
LCM(277,359) = ( 277 × 359 ) / 1
LCM(277,359) = 99443 / 1
LCM(277,359) = 99443
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FAQs on GCF of Fractions of 1104/277, 9968/359
1. What is the HCF of 1104,9968?
The HCF of 1104,9968 is 16
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 1104/277, 9968/359?
Answer: GCF of Numerators as per given numbers 1104/277, 9968/359 is
GCF of Numerators i.e. for 1104,9968 is 16
LCM of denominators i.e. for 277,359 is 99443.
Thus, GCF of Fractions is 16/99443.Finally, GCF of Fractions for 1104/277, 9968/359 is 16/99443.