GCF of 4662/168, 1932/922
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4662/168, 1932/922 i.e 42/77448 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4662/168, 1932/922.
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 4662/168,1932/922?
Given fractions are 4662/168,1932/922
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 4662/168,1932/922, numerators are 4662,1932
Denominators are 168,922
The GCF of 4662,1932 is 42 .
LCM of 168,922 is 77448.
The greatest common factor of 4662/168,1932/922 = [GCF of 4662,1932]/[LCM of 168,922]= 42/77448
Therefore, the GCF of 4662/168,1932/922 is 42/77448.
To find the highest common factor of 4662,1932, we have to find the factors of both numbers and list the highest common factor.
The factors of 4662 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 37, 42, 63, 74, 111, 126, 222, 259, 333, 518, 666, 777, 1554, 2331, 4662
The factors of 1932 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 23, 28, 42, 46, 69, 84, 92, 138, 161, 276, 322, 483, 644, 966, 1932
The HCF of 4662,1932 is 42.
Lets's calculate GCF of 4662,1932
| 2 | 4662, 1932 |
| 3 | 2331, 966 |
| 7 | 777, 322 |
| 111, 46 |
∴ So the GCF of the given numbers is 2 x 3 x 7 = 42
Greatest Common Factor of 4662,1932 By Matching Biggest Common Factor Method
Now, list down the factors of 4662
:1,2,3,6,7,9,14,18,21,37,42,63,74,111,126,222,259,333,518,666,777,1554,2331,4662
Now, list down the factors of 1932
:1,2,3,4,6,7,12,14,21,23,28,42,46,69,84,92,138,161,276,322,483,644,966,1932
Greatest Common Factor
We found the factors 4662,1932 . The biggest common factor number is the GCF number.
So the greatest common factor 4662,1932 is 42.
Lets's calculate LCM of 168,922
| 2 | 168, 922 |
| 84, 461 |
∴ So the LCM of the given numbers is 2 x 84 x 461 = 77448
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 42/77448
Therefore, the GCF of Fractions 4662/168,1932/922 is 42/77448
Least Common Multiple of 168,922 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 168,922 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(168,922) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(168,922) x common factors =2 x 1 = 2
LCM(168,922) = ( 168 × 922 ) / 2
LCM(168,922) = 154896 / 2
LCM(168,922) = 77448
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FAQs on GCF of Fractions of 4662/168, 1932/922
1. What is the HCF of 4662,1932?
The HCF of 4662,1932 is 42
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 4662/168, 1932/922?
Answer: GCF of Numerators as per given numbers 4662/168, 1932/922 is
GCF of Numerators i.e. for 4662,1932 is 42
LCM of denominators i.e. for 168,922 is 77448.
Thus, GCF of Fractions is 42/77448.Finally, GCF of Fractions for 4662/168, 1932/922 is 42/77448.