GCF of 1064/77, 5124/887
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1064/77, 5124/887 i.e 28/68299 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1064/77, 5124/887.
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 1064/77,5124/887?
Given fractions are 1064/77,5124/887
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 1064/77,5124/887, numerators are 1064,5124
Denominators are 77,887
The GCF of 1064,5124 is 28 .
LCM of 77,887 is 68299.
The greatest common factor of 1064/77,5124/887 = [GCF of 1064,5124]/[LCM of 77,887]= 28/68299
Therefore, the GCF of 1064/77,5124/887 is 28/68299.
To find the highest common factor of 1064,5124, we have to find the factors of both numbers and list the highest common factor.
The factors of 1064 are 1, 2, 4, 7, 8, 14, 19, 28, 38, 56, 76, 133, 152, 266, 532, 1064
The factors of 5124 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 61, 84, 122, 183, 244, 366, 427, 732, 854, 1281, 1708, 2562, 5124
The HCF of 1064,5124 is 28.
Lets's calculate GCF of 1064,5124
| 2 | 1064, 5124 |
| 2 | 532, 2562 |
| 7 | 266, 1281 |
| 38, 183 |
∴ So the GCF of the given numbers is 2 x 2 x 7 = 28
Greatest Common Factor of 1064,5124 By Matching Biggest Common Factor Method
Now, list down the factors of 1064
:1,2,4,7,8,14,19,28,38,56,76,133,152,266,532,1064
Now, list down the factors of 5124
:1,2,3,4,6,7,12,14,21,28,42,61,84,122,183,244,366,427,732,854,1281,1708,2562,5124
Greatest Common Factor
We found the factors 1064,5124 . The biggest common factor number is the GCF number.
So the greatest common factor 1064,5124 is 28.
Lets's calculate LCM of 77,887
Given numbers has no common factors except 1. So, there LCM is their product i.e 68299
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/68299
Therefore, the GCF of Fractions 1064/77,5124/887 is 28/68299
Least Common Multiple of 77,887 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 77,887 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,887) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(77,887) x common factors =1 x 1 = 1
LCM(77,887) = ( 77 × 887 ) / 1
LCM(77,887) = 68299 / 1
LCM(77,887) = 68299
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FAQs on GCF of Fractions of 1064/77, 5124/887
1. What is the HCF of 1064,5124?
The HCF of 1064,5124 is 28
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 1064/77, 5124/887?
Answer: GCF of Numerators as per given numbers 1064/77, 5124/887 is
GCF of Numerators i.e. for 1064,5124 is 28
LCM of denominators i.e. for 77,887 is 68299.
Thus, GCF of Fractions is 28/68299.Finally, GCF of Fractions for 1064/77, 5124/887 is 28/68299.