GCF of 6602/922, 1796/932
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6602/922, 1796/932 i.e 2/429652 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6602/922, 1796/932.
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 6602/922,1796/932?
Given fractions are 6602/922,1796/932
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 6602/922,1796/932, numerators are 6602,1796
Denominators are 922,932
The GCF of 6602,1796 is 2 .
LCM of 922,932 is 429652.
The greatest common factor of 6602/922,1796/932 = [GCF of 6602,1796]/[LCM of 922,932]= 2/429652
Therefore, the GCF of 6602/922,1796/932 is 2/429652.
To find the highest common factor of 6602,1796, we have to find the factors of both numbers and list the highest common factor.
The factors of 6602 are 1, 2, 3301, 6602
The factors of 1796 are 1, 2, 4, 449, 898, 1796
The HCF of 6602,1796 is 2.
Lets's calculate GCF of 6602,1796
| 2 | 6602, 1796 |
| 3301, 898 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6602,1796 By Matching Biggest Common Factor Method
Now, list down the factors of 6602
:1,2,3301,6602
Now, list down the factors of 1796
:1,2,4,449,898,1796
Greatest Common Factor
We found the factors 6602,1796 . The biggest common factor number is the GCF number.
So the greatest common factor 6602,1796 is 2.
Lets's calculate LCM of 922,932
| 2 | 922, 932 |
| 461, 466 |
∴ So the LCM of the given numbers is 2 x 461 x 466 = 429652
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/429652
Therefore, the GCF of Fractions 6602/922,1796/932 is 2/429652
Least Common Multiple of 922,932 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 922,932 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(922,932) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(922,932) x common factors =2 x 1 = 2
LCM(922,932) = ( 922 × 932 ) / 2
LCM(922,932) = 859304 / 2
LCM(922,932) = 429652
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FAQs on GCF of Fractions of 6602/922, 1796/932
1. What is the HCF of 6602,1796?
The HCF of 6602,1796 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 6602/922, 1796/932?
Answer: GCF of Numerators as per given numbers 6602/922, 1796/932 is
GCF of Numerators i.e. for 6602,1796 is 2
LCM of denominators i.e. for 922,932 is 429652.
Thus, GCF of Fractions is 2/429652.Finally, GCF of Fractions for 6602/922, 1796/932 is 2/429652.