GCF of 1065/912, 9356/5280
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1065/912, 9356/5280 i.e 1/100320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1065/912, 9356/5280.
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 1065/912,9356/5280?
Given fractions are 1065/912,9356/5280
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 1065/912,9356/5280, numerators are 1065,9356
Denominators are 912,5280
The GCF of 1065,9356 is 1 .
LCM of 912,5280 is 100320.
The greatest common factor of 1065/912,9356/5280 = [GCF of 1065,9356]/[LCM of 912,5280]= 1/100320
Therefore, the GCF of 1065/912,9356/5280 is 1/100320.
To find the highest common factor of 1065,9356, we have to find the factors of both numbers and list the highest common factor.
The factors of 1065 are 1, 3, 5, 15, 71, 213, 355, 1065
The factors of 9356 are 1, 2, 4, 2339, 4678, 9356
The HCF of 1065,9356 is 1.
Lets's calculate GCF of 1065,9356
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1065,9356 By Matching Biggest Common Factor Method
Now, list down the factors of 1065
:1,3,5,15,71,213,355,1065
Now, list down the factors of 9356
:1,2,4,2339,4678,9356
Greatest Common Factor
We found the factors 1065,9356 . The biggest common factor number is the GCF number.
So the greatest common factor 1065,9356 is 1.
Lets's calculate LCM of 912,5280
| 2 | 912, 5280 |
| 2 | 456, 2640 |
| 2 | 228, 1320 |
| 2 | 114, 660 |
| 3 | 57, 330 |
| 19, 110 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 19 x 110 = 100320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/100320
Therefore, the GCF of Fractions 1065/912,9356/5280 is 1/100320
Least Common Multiple of 912,5280 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 912,5280 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(912,5280) = 48
common factors(in case of two or more numbers have common factors) = 1
GCF(912,5280) x common factors =48 x 1 = 48
LCM(912,5280) = ( 912 × 5280 ) / 48
LCM(912,5280) = 4815360 / 48
LCM(912,5280) = 100320
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FAQs on GCF of Fractions of 1065/912, 9356/5280
1. What is the HCF of 1065,9356?
The HCF of 1065,9356 is 1
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 1065/912, 9356/5280?
Answer: GCF of Numerators as per given numbers 1065/912, 9356/5280 is
GCF of Numerators i.e. for 1065,9356 is 1
LCM of denominators i.e. for 912,5280 is 100320.
Thus, GCF of Fractions is 1/100320.Finally, GCF of Fractions for 1065/912, 9356/5280 is 1/100320.