GCF of 1047/320, 7875/5155
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1047/320, 7875/5155 i.e 3/329920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1047/320, 7875/5155.
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 1047/320,7875/5155?
Given fractions are 1047/320,7875/5155
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 1047/320,7875/5155, numerators are 1047,7875
Denominators are 320,5155
The GCF of 1047,7875 is 3 .
LCM of 320,5155 is 329920.
The greatest common factor of 1047/320,7875/5155 = [GCF of 1047,7875]/[LCM of 320,5155]= 3/329920
Therefore, the GCF of 1047/320,7875/5155 is 3/329920.
To find the highest common factor of 1047,7875, we have to find the factors of both numbers and list the highest common factor.
The factors of 1047 are 1, 3, 349, 1047
The factors of 7875 are 1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 63, 75, 105, 125, 175, 225, 315, 375, 525, 875, 1125, 1575, 2625, 7875
The HCF of 1047,7875 is 3.
Lets's calculate GCF of 1047,7875
| 3 | 1047, 7875 |
| 349, 2625 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1047,7875 By Matching Biggest Common Factor Method
Now, list down the factors of 1047
:1,3,349,1047
Now, list down the factors of 7875
:1,3,5,7,9,15,21,25,35,45,63,75,105,125,175,225,315,375,525,875,1125,1575,2625,7875
Greatest Common Factor
We found the factors 1047,7875 . The biggest common factor number is the GCF number.
So the greatest common factor 1047,7875 is 3.
Lets's calculate LCM of 320,5155
| 5 | 320, 5155 |
| 64, 1031 |
∴ So the LCM of the given numbers is 5 x 64 x 1031 = 329920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/329920
Therefore, the GCF of Fractions 1047/320,7875/5155 is 3/329920
Least Common Multiple of 320,5155 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 320,5155 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(320,5155) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(320,5155) x common factors =5 x 1 = 5
LCM(320,5155) = ( 320 × 5155 ) / 5
LCM(320,5155) = 1649600 / 5
LCM(320,5155) = 329920
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FAQs on GCF of Fractions of 1047/320, 7875/5155
1. What is the HCF of 1047,7875?
The HCF of 1047,7875 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 1047/320, 7875/5155?
Answer: GCF of Numerators as per given numbers 1047/320, 7875/5155 is
GCF of Numerators i.e. for 1047,7875 is 3
LCM of denominators i.e. for 320,5155 is 329920.
Thus, GCF of Fractions is 3/329920.Finally, GCF of Fractions for 1047/320, 7875/5155 is 3/329920.