GCF of 6570/651, 9660/527
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6570/651, 9660/527 i.e 30/11067 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6570/651, 9660/527.
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 6570/651,9660/527?
Given fractions are 6570/651,9660/527
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 6570/651,9660/527, numerators are 6570,9660
Denominators are 651,527
The GCF of 6570,9660 is 30 .
LCM of 651,527 is 11067.
The greatest common factor of 6570/651,9660/527 = [GCF of 6570,9660]/[LCM of 651,527]= 30/11067
Therefore, the GCF of 6570/651,9660/527 is 30/11067.
To find the highest common factor of 6570,9660, we have to find the factors of both numbers and list the highest common factor.
The factors of 6570 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 73, 90, 146, 219, 365, 438, 657, 730, 1095, 1314, 2190, 3285, 6570
The factors of 9660 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 23, 28, 30, 35, 42, 46, 60, 69, 70, 84, 92, 105, 115, 138, 140, 161, 210, 230, 276, 322, 345, 420, 460, 483, 644, 690, 805, 966, 1380, 1610, 1932, 2415, 3220, 4830, 9660
The HCF of 6570,9660 is 30.
Lets's calculate GCF of 6570,9660
| 2 | 6570, 9660 |
| 3 | 3285, 4830 |
| 5 | 1095, 1610 |
| 219, 322 |
∴ So the GCF of the given numbers is 2 x 3 x 5 = 30
Greatest Common Factor of 6570,9660 By Matching Biggest Common Factor Method
Now, list down the factors of 6570
:1,2,3,5,6,9,10,15,18,30,45,73,90,146,219,365,438,657,730,1095,1314,2190,3285,6570
Now, list down the factors of 9660
:1,2,3,4,5,6,7,10,12,14,15,20,21,23,28,30,35,42,46,60,69,70,84,92,105,115,138,140,161,210,230,276,322,345,420,460,483,644,690,805,966,1380,1610,1932,2415,3220,4830,9660
Greatest Common Factor
We found the factors 6570,9660 . The biggest common factor number is the GCF number.
So the greatest common factor 6570,9660 is 30.
Lets's calculate LCM of 651,527
| 31 | 651, 527 |
| 21, 17 |
∴ So the LCM of the given numbers is 31 x 21 x 17 = 11067
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 30/11067
Therefore, the GCF of Fractions 6570/651,9660/527 is 30/11067
Least Common Multiple of 651,527 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 651,527 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(651,527) = 31
common factors(in case of two or more numbers have common factors) = 1
GCF(651,527) x common factors =31 x 1 = 31
LCM(651,527) = ( 651 × 527 ) / 31
LCM(651,527) = 343077 / 31
LCM(651,527) = 11067
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6570/651, 9660/527
1. What is the HCF of 6570,9660?
The HCF of 6570,9660 is 30
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 6570/651, 9660/527?
Answer: GCF of Numerators as per given numbers 6570/651, 9660/527 is
GCF of Numerators i.e. for 6570,9660 is 30
LCM of denominators i.e. for 651,527 is 11067.
Thus, GCF of Fractions is 30/11067.Finally, GCF of Fractions for 6570/651, 9660/527 is 30/11067.