GCF of 1029/617, 8784/1253
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1029/617, 8784/1253 i.e 3/773101 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1029/617, 8784/1253.
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 1029/617,8784/1253?
Given fractions are 1029/617,8784/1253
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 1029/617,8784/1253, numerators are 1029,8784
Denominators are 617,1253
The GCF of 1029,8784 is 3 .
LCM of 617,1253 is 773101.
The greatest common factor of 1029/617,8784/1253 = [GCF of 1029,8784]/[LCM of 617,1253]= 3/773101
Therefore, the GCF of 1029/617,8784/1253 is 3/773101.
To find the highest common factor of 1029,8784, we have to find the factors of both numbers and list the highest common factor.
The factors of 1029 are 1, 3, 7, 21, 49, 147, 343, 1029
The factors of 8784 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 61, 72, 122, 144, 183, 244, 366, 488, 549, 732, 976, 1098, 1464, 2196, 2928, 4392, 8784
The HCF of 1029,8784 is 3.
Lets's calculate GCF of 1029,8784
| 3 | 1029, 8784 |
| 343, 2928 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1029,8784 By Matching Biggest Common Factor Method
Now, list down the factors of 1029
:1,3,7,21,49,147,343,1029
Now, list down the factors of 8784
:1,2,3,4,6,8,9,12,16,18,24,36,48,61,72,122,144,183,244,366,488,549,732,976,1098,1464,2196,2928,4392,8784
Greatest Common Factor
We found the factors 1029,8784 . The biggest common factor number is the GCF number.
So the greatest common factor 1029,8784 is 3.
Lets's calculate LCM of 617,1253
Given numbers has no common factors except 1. So, there LCM is their product i.e 773101
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/773101
Therefore, the GCF of Fractions 1029/617,8784/1253 is 3/773101
Least Common Multiple of 617,1253 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 617,1253 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(617,1253) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(617,1253) x common factors =1 x 1 = 1
LCM(617,1253) = ( 617 × 1253 ) / 1
LCM(617,1253) = 773101 / 1
LCM(617,1253) = 773101
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FAQs on GCF of Fractions of 1029/617, 8784/1253
1. What is the HCF of 1029,8784?
The HCF of 1029,8784 is 3
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 1029/617, 8784/1253?
Answer: GCF of Numerators as per given numbers 1029/617, 8784/1253 is
GCF of Numerators i.e. for 1029,8784 is 3
LCM of denominators i.e. for 617,1253 is 773101.
Thus, GCF of Fractions is 3/773101.Finally, GCF of Fractions for 1029/617, 8784/1253 is 3/773101.