GCF of 4684/932, 8662/8106
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4684/932, 8662/8106 i.e 2/3777396 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4684/932, 8662/8106.
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 4684/932,8662/8106?
Given fractions are 4684/932,8662/8106
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 4684/932,8662/8106, numerators are 4684,8662
Denominators are 932,8106
The GCF of 4684,8662 is 2 .
LCM of 932,8106 is 3777396.
The greatest common factor of 4684/932,8662/8106 = [GCF of 4684,8662]/[LCM of 932,8106]= 2/3777396
Therefore, the GCF of 4684/932,8662/8106 is 2/3777396.
To find the highest common factor of 4684,8662, we have to find the factors of both numbers and list the highest common factor.
The factors of 4684 are 1, 2, 4, 1171, 2342, 4684
The factors of 8662 are 1, 2, 61, 71, 122, 142, 4331, 8662
The HCF of 4684,8662 is 2.
Lets's calculate GCF of 4684,8662
| 2 | 4684, 8662 |
| 2342, 4331 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4684,8662 By Matching Biggest Common Factor Method
Now, list down the factors of 4684
:1,2,4,1171,2342,4684
Now, list down the factors of 8662
:1,2,61,71,122,142,4331,8662
Greatest Common Factor
We found the factors 4684,8662 . The biggest common factor number is the GCF number.
So the greatest common factor 4684,8662 is 2.
Lets's calculate LCM of 932,8106
| 2 | 932, 8106 |
| 466, 4053 |
∴ So the LCM of the given numbers is 2 x 466 x 4053 = 3777396
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3777396
Therefore, the GCF of Fractions 4684/932,8662/8106 is 2/3777396
Least Common Multiple of 932,8106 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 932,8106 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(932,8106) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(932,8106) x common factors =2 x 1 = 2
LCM(932,8106) = ( 932 × 8106 ) / 2
LCM(932,8106) = 7554792 / 2
LCM(932,8106) = 3777396
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FAQs on GCF of Fractions of 4684/932, 8662/8106
1. What is the HCF of 4684,8662?
The HCF of 4684,8662 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 4684/932, 8662/8106?
Answer: GCF of Numerators as per given numbers 4684/932, 8662/8106 is
GCF of Numerators i.e. for 4684,8662 is 2
LCM of denominators i.e. for 932,8106 is 3777396.
Thus, GCF of Fractions is 2/3777396.Finally, GCF of Fractions for 4684/932, 8662/8106 is 2/3777396.