GCF of 7752/684, 9570/839
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7752/684, 9570/839 i.e 6/573876 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7752/684, 9570/839.
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 7752/684,9570/839?
Given fractions are 7752/684,9570/839
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 7752/684,9570/839, numerators are 7752,9570
Denominators are 684,839
The GCF of 7752,9570 is 6 .
LCM of 684,839 is 573876.
The greatest common factor of 7752/684,9570/839 = [GCF of 7752,9570]/[LCM of 684,839]= 6/573876
Therefore, the GCF of 7752/684,9570/839 is 6/573876.
To find the highest common factor of 7752,9570, we have to find the factors of both numbers and list the highest common factor.
The factors of 7752 are 1, 2, 3, 4, 6, 8, 12, 17, 19, 24, 34, 38, 51, 57, 68, 76, 102, 114, 136, 152, 204, 228, 323, 408, 456, 646, 969, 1292, 1938, 2584, 3876, 7752
The factors of 9570 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 29, 30, 33, 55, 58, 66, 87, 110, 145, 165, 174, 290, 319, 330, 435, 638, 870, 957, 1595, 1914, 3190, 4785, 9570
The HCF of 7752,9570 is 6.
Lets's calculate GCF of 7752,9570
| 2 | 7752, 9570 |
| 3 | 3876, 4785 |
| 1292, 1595 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 7752,9570 By Matching Biggest Common Factor Method
Now, list down the factors of 7752
:1,2,3,4,6,8,12,17,19,24,34,38,51,57,68,76,102,114,136,152,204,228,323,408,456,646,969,1292,1938,2584,3876,7752
Now, list down the factors of 9570
:1,2,3,5,6,10,11,15,22,29,30,33,55,58,66,87,110,145,165,174,290,319,330,435,638,870,957,1595,1914,3190,4785,9570
Greatest Common Factor
We found the factors 7752,9570 . The biggest common factor number is the GCF number.
So the greatest common factor 7752,9570 is 6.
Lets's calculate LCM of 684,839
Given numbers has no common factors except 1. So, there LCM is their product i.e 573876
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/573876
Therefore, the GCF of Fractions 7752/684,9570/839 is 6/573876
Least Common Multiple of 684,839 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 684,839 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(684,839) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(684,839) x common factors =1 x 1 = 1
LCM(684,839) = ( 684 × 839 ) / 1
LCM(684,839) = 573876 / 1
LCM(684,839) = 573876
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 7752/684, 9570/839
1. What is the HCF of 7752,9570?
The HCF of 7752,9570 is 6
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 7752/684, 9570/839?
Answer: GCF of Numerators as per given numbers 7752/684, 9570/839 is
GCF of Numerators i.e. for 7752,9570 is 6
LCM of denominators i.e. for 684,839 is 573876.
Thus, GCF of Fractions is 6/573876.Finally, GCF of Fractions for 7752/684, 9570/839 is 6/573876.