GCF of 3916/879, 9434/6638
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3916/879, 9434/6638 i.e 178/5834802 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3916/879, 9434/6638.
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 3916/879,9434/6638?
Given fractions are 3916/879,9434/6638
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 3916/879,9434/6638, numerators are 3916,9434
Denominators are 879,6638
The GCF of 3916,9434 is 178 .
LCM of 879,6638 is 5834802.
The greatest common factor of 3916/879,9434/6638 = [GCF of 3916,9434]/[LCM of 879,6638]= 178/5834802
Therefore, the GCF of 3916/879,9434/6638 is 178/5834802.
To find the highest common factor of 3916,9434, we have to find the factors of both numbers and list the highest common factor.
The factors of 3916 are 1, 2, 4, 11, 22, 44, 89, 178, 356, 979, 1958, 3916
The factors of 9434 are 1, 2, 53, 89, 106, 178, 4717, 9434
The HCF of 3916,9434 is 178.
Lets's calculate GCF of 3916,9434
| 2 | 3916, 9434 |
| 89 | 1958, 4717 |
| 22, 53 |
∴ So the GCF of the given numbers is 2 x 89 = 178
Greatest Common Factor of 3916,9434 By Matching Biggest Common Factor Method
Now, list down the factors of 3916
:1,2,4,11,22,44,89,178,356,979,1958,3916
Now, list down the factors of 9434
:1,2,53,89,106,178,4717,9434
Greatest Common Factor
We found the factors 3916,9434 . The biggest common factor number is the GCF number.
So the greatest common factor 3916,9434 is 178.
Lets's calculate LCM of 879,6638
Given numbers has no common factors except 1. So, there LCM is their product i.e 5834802
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 178/5834802
Therefore, the GCF of Fractions 3916/879,9434/6638 is 178/5834802
Least Common Multiple of 879,6638 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 879,6638 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(879,6638) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(879,6638) x common factors =1 x 1 = 1
LCM(879,6638) = ( 879 × 6638 ) / 1
LCM(879,6638) = 5834802 / 1
LCM(879,6638) = 5834802
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FAQs on GCF of Fractions of 3916/879, 9434/6638
1. What is the HCF of 3916,9434?
The HCF of 3916,9434 is 178
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 3916/879, 9434/6638?
Answer: GCF of Numerators as per given numbers 3916/879, 9434/6638 is
GCF of Numerators i.e. for 3916,9434 is 178
LCM of denominators i.e. for 879,6638 is 5834802.
Thus, GCF of Fractions is 178/5834802.Finally, GCF of Fractions for 3916/879, 9434/6638 is 178/5834802.