GCF of 1155/696, 9660/7662
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1155/696, 9660/7662 i.e 105/888792 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1155/696, 9660/7662.
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 1155/696,9660/7662?
Given fractions are 1155/696,9660/7662
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 1155/696,9660/7662, numerators are 1155,9660
Denominators are 696,7662
The GCF of 1155,9660 is 105 .
LCM of 696,7662 is 888792.
The greatest common factor of 1155/696,9660/7662 = [GCF of 1155,9660]/[LCM of 696,7662]= 105/888792
Therefore, the GCF of 1155/696,9660/7662 is 105/888792.
To find the highest common factor of 1155,9660, we have to find the factors of both numbers and list the highest common factor.
The factors of 1155 are 1, 3, 5, 7, 11, 15, 21, 33, 35, 55, 77, 105, 165, 231, 385, 1155
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 1155,9660 is 105.
Lets's calculate GCF of 1155,9660
| 3 | 1155, 9660 |
| 5 | 385, 3220 |
| 7 | 77, 644 |
| 11, 92 |
∴ So the GCF of the given numbers is 3 x 5 x 7 = 105
Greatest Common Factor of 1155,9660 By Matching Biggest Common Factor Method
Now, list down the factors of 1155
:1,3,5,7,11,15,21,33,35,55,77,105,165,231,385,1155
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 1155,9660 . The biggest common factor number is the GCF number.
So the greatest common factor 1155,9660 is 105.
Lets's calculate LCM of 696,7662
| 2 | 696, 7662 |
| 3 | 348, 3831 |
| 116, 1277 |
∴ So the LCM of the given numbers is 2 x 3 x 116 x 1277 = 888792
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 105/888792
Therefore, the GCF of Fractions 1155/696,9660/7662 is 105/888792
Least Common Multiple of 696,7662 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 696,7662 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(696,7662) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(696,7662) x common factors =6 x 1 = 6
LCM(696,7662) = ( 696 × 7662 ) / 6
LCM(696,7662) = 5332752 / 6
LCM(696,7662) = 888792
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FAQs on GCF of Fractions of 1155/696, 9660/7662
1. What is the HCF of 1155,9660?
The HCF of 1155,9660 is 105
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 1155/696, 9660/7662?
Answer: GCF of Numerators as per given numbers 1155/696, 9660/7662 is
GCF of Numerators i.e. for 1155,9660 is 105
LCM of denominators i.e. for 696,7662 is 888792.
Thus, GCF of Fractions is 105/888792.Finally, GCF of Fractions for 1155/696, 9660/7662 is 105/888792.