GCF of 6964/380, 9768/7854
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6964/380, 9768/7854 i.e 4/1492260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6964/380, 9768/7854.
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 6964/380,9768/7854?
Given fractions are 6964/380,9768/7854
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 6964/380,9768/7854, numerators are 6964,9768
Denominators are 380,7854
The GCF of 6964,9768 is 4 .
LCM of 380,7854 is 1492260.
The greatest common factor of 6964/380,9768/7854 = [GCF of 6964,9768]/[LCM of 380,7854]= 4/1492260
Therefore, the GCF of 6964/380,9768/7854 is 4/1492260.
To find the highest common factor of 6964,9768, we have to find the factors of both numbers and list the highest common factor.
The factors of 6964 are 1, 2, 4, 1741, 3482, 6964
The factors of 9768 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 37, 44, 66, 74, 88, 111, 132, 148, 222, 264, 296, 407, 444, 814, 888, 1221, 1628, 2442, 3256, 4884, 9768
The HCF of 6964,9768 is 4.
Lets's calculate GCF of 6964,9768
| 2 | 6964, 9768 |
| 2 | 3482, 4884 |
| 1741, 2442 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 6964,9768 By Matching Biggest Common Factor Method
Now, list down the factors of 6964
:1,2,4,1741,3482,6964
Now, list down the factors of 9768
:1,2,3,4,6,8,11,12,22,24,33,37,44,66,74,88,111,132,148,222,264,296,407,444,814,888,1221,1628,2442,3256,4884,9768
Greatest Common Factor
We found the factors 6964,9768 . The biggest common factor number is the GCF number.
So the greatest common factor 6964,9768 is 4.
Lets's calculate LCM of 380,7854
| 2 | 380, 7854 |
| 190, 3927 |
∴ So the LCM of the given numbers is 2 x 190 x 3927 = 1492260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1492260
Therefore, the GCF of Fractions 6964/380,9768/7854 is 4/1492260
Least Common Multiple of 380,7854 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 380,7854 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(380,7854) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(380,7854) x common factors =2 x 1 = 2
LCM(380,7854) = ( 380 × 7854 ) / 2
LCM(380,7854) = 2984520 / 2
LCM(380,7854) = 1492260
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FAQs on GCF of Fractions of 6964/380, 9768/7854
1. What is the HCF of 6964,9768?
The HCF of 6964,9768 is 4
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 6964/380, 9768/7854?
Answer: GCF of Numerators as per given numbers 6964/380, 9768/7854 is
GCF of Numerators i.e. for 6964,9768 is 4
LCM of denominators i.e. for 380,7854 is 1492260.
Thus, GCF of Fractions is 4/1492260.Finally, GCF of Fractions for 6964/380, 9768/7854 is 4/1492260.