GCF of 1064/427, 7264/9775
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1064/427, 7264/9775 i.e 8/4173925 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1064/427, 7264/9775.
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 1064/427,7264/9775?
Given fractions are 1064/427,7264/9775
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 1064/427,7264/9775, numerators are 1064,7264
Denominators are 427,9775
The GCF of 1064,7264 is 8 .
LCM of 427,9775 is 4173925.
The greatest common factor of 1064/427,7264/9775 = [GCF of 1064,7264]/[LCM of 427,9775]= 8/4173925
Therefore, the GCF of 1064/427,7264/9775 is 8/4173925.
To find the highest common factor of 1064,7264, 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 7264 are 1, 2, 4, 8, 16, 32, 227, 454, 908, 1816, 3632, 7264
The HCF of 1064,7264 is 8.
Lets's calculate GCF of 1064,7264
| 2 | 1064, 7264 |
| 2 | 532, 3632 |
| 2 | 266, 1816 |
| 133, 908 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 1064,7264 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 7264
:1,2,4,8,16,32,227,454,908,1816,3632,7264
Greatest Common Factor
We found the factors 1064,7264 . The biggest common factor number is the GCF number.
So the greatest common factor 1064,7264 is 8.
Lets's calculate LCM of 427,9775
Given numbers has no common factors except 1. So, there LCM is their product i.e 4173925
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/4173925
Therefore, the GCF of Fractions 1064/427,7264/9775 is 8/4173925
Least Common Multiple of 427,9775 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 427,9775 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(427,9775) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(427,9775) x common factors =1 x 1 = 1
LCM(427,9775) = ( 427 × 9775 ) / 1
LCM(427,9775) = 4173925 / 1
LCM(427,9775) = 4173925
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FAQs on GCF of Fractions of 1064/427, 7264/9775
1. What is the HCF of 1064,7264?
The HCF of 1064,7264 is 8
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 1064/427, 7264/9775?
Answer: GCF of Numerators as per given numbers 1064/427, 7264/9775 is
GCF of Numerators i.e. for 1064,7264 is 8
LCM of denominators i.e. for 427,9775 is 4173925.
Thus, GCF of Fractions is 8/4173925.Finally, GCF of Fractions for 1064/427, 7264/9775 is 8/4173925.