GCF of 3832/703, 7722/7967
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3832/703, 7722/7967 i.e 2/5600801 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3832/703, 7722/7967.
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 3832/703,7722/7967?
Given fractions are 3832/703,7722/7967
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 3832/703,7722/7967, numerators are 3832,7722
Denominators are 703,7967
The GCF of 3832,7722 is 2 .
LCM of 703,7967 is 5600801.
The greatest common factor of 3832/703,7722/7967 = [GCF of 3832,7722]/[LCM of 703,7967]= 2/5600801
Therefore, the GCF of 3832/703,7722/7967 is 2/5600801.
To find the highest common factor of 3832,7722, we have to find the factors of both numbers and list the highest common factor.
The factors of 3832 are 1, 2, 4, 8, 479, 958, 1916, 3832
The factors of 7722 are 1, 2, 3, 6, 9, 11, 13, 18, 22, 26, 27, 33, 39, 54, 66, 78, 99, 117, 143, 198, 234, 286, 297, 351, 429, 594, 702, 858, 1287, 2574, 3861, 7722
The HCF of 3832,7722 is 2.
Lets's calculate GCF of 3832,7722
| 2 | 3832, 7722 |
| 1916, 3861 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3832,7722 By Matching Biggest Common Factor Method
Now, list down the factors of 3832
:1,2,4,8,479,958,1916,3832
Now, list down the factors of 7722
:1,2,3,6,9,11,13,18,22,26,27,33,39,54,66,78,99,117,143,198,234,286,297,351,429,594,702,858,1287,2574,3861,7722
Greatest Common Factor
We found the factors 3832,7722 . The biggest common factor number is the GCF number.
So the greatest common factor 3832,7722 is 2.
Lets's calculate LCM of 703,7967
Given numbers has no common factors except 1. So, there LCM is their product i.e 5600801
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5600801
Therefore, the GCF of Fractions 3832/703,7722/7967 is 2/5600801
Least Common Multiple of 703,7967 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 703,7967 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(703,7967) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(703,7967) x common factors =1 x 1 = 1
LCM(703,7967) = ( 703 × 7967 ) / 1
LCM(703,7967) = 5600801 / 1
LCM(703,7967) = 5600801
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FAQs on GCF of Fractions of 3832/703, 7722/7967
1. What is the HCF of 3832,7722?
The HCF of 3832,7722 is 2
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 3832/703, 7722/7967?
Answer: GCF of Numerators as per given numbers 3832/703, 7722/7967 is
GCF of Numerators i.e. for 3832,7722 is 2
LCM of denominators i.e. for 703,7967 is 5600801.
Thus, GCF of Fractions is 2/5600801.Finally, GCF of Fractions for 3832/703, 7722/7967 is 2/5600801.