GCF of 9715/552, 2814/1470
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9715/552, 2814/1470 i.e 67/135240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9715/552, 2814/1470.
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 9715/552,2814/1470?
Given fractions are 9715/552,2814/1470
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 9715/552,2814/1470, numerators are 9715,2814
Denominators are 552,1470
The GCF of 9715,2814 is 67 .
LCM of 552,1470 is 135240.
The greatest common factor of 9715/552,2814/1470 = [GCF of 9715,2814]/[LCM of 552,1470]= 67/135240
Therefore, the GCF of 9715/552,2814/1470 is 67/135240.
To find the highest common factor of 9715,2814, we have to find the factors of both numbers and list the highest common factor.
The factors of 9715 are 1, 5, 29, 67, 145, 335, 1943, 9715
The factors of 2814 are 1, 2, 3, 6, 7, 14, 21, 42, 67, 134, 201, 402, 469, 938, 1407, 2814
The HCF of 9715,2814 is 67.
Lets's calculate GCF of 9715,2814
| 67 | 9715, 2814 |
| 145, 42 |
∴ So the GCF of the given numbers is 67 = 67
Greatest Common Factor of 9715,2814 By Matching Biggest Common Factor Method
Now, list down the factors of 9715
:1,5,29,67,145,335,1943,9715
Now, list down the factors of 2814
:1,2,3,6,7,14,21,42,67,134,201,402,469,938,1407,2814
Greatest Common Factor
We found the factors 9715,2814 . The biggest common factor number is the GCF number.
So the greatest common factor 9715,2814 is 67.
Lets's calculate LCM of 552,1470
| 2 | 552, 1470 |
| 3 | 276, 735 |
| 92, 245 |
∴ So the LCM of the given numbers is 2 x 3 x 92 x 245 = 135240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 67/135240
Therefore, the GCF of Fractions 9715/552,2814/1470 is 67/135240
Least Common Multiple of 552,1470 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 552,1470 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(552,1470) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(552,1470) x common factors =6 x 1 = 6
LCM(552,1470) = ( 552 × 1470 ) / 6
LCM(552,1470) = 811440 / 6
LCM(552,1470) = 135240
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FAQs on GCF of Fractions of 9715/552, 2814/1470
1. What is the HCF of 9715,2814?
The HCF of 9715,2814 is 67
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 9715/552, 2814/1470?
Answer: GCF of Numerators as per given numbers 9715/552, 2814/1470 is
GCF of Numerators i.e. for 9715,2814 is 67
LCM of denominators i.e. for 552,1470 is 135240.
Thus, GCF of Fractions is 67/135240.Finally, GCF of Fractions for 9715/552, 2814/1470 is 67/135240.