GCF of 2932/819, 6702/8834
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2932/819, 6702/8834 i.e 2/1033578 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2932/819, 6702/8834.
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 2932/819,6702/8834?
Given fractions are 2932/819,6702/8834
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 2932/819,6702/8834, numerators are 2932,6702
Denominators are 819,8834
The GCF of 2932,6702 is 2 .
LCM of 819,8834 is 1033578.
The greatest common factor of 2932/819,6702/8834 = [GCF of 2932,6702]/[LCM of 819,8834]= 2/1033578
Therefore, the GCF of 2932/819,6702/8834 is 2/1033578.
To find the highest common factor of 2932,6702, we have to find the factors of both numbers and list the highest common factor.
The factors of 2932 are 1, 2, 4, 733, 1466, 2932
The factors of 6702 are 1, 2, 3, 6, 1117, 2234, 3351, 6702
The HCF of 2932,6702 is 2.
Lets's calculate GCF of 2932,6702
| 2 | 2932, 6702 |
| 1466, 3351 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2932,6702 By Matching Biggest Common Factor Method
Now, list down the factors of 2932
:1,2,4,733,1466,2932
Now, list down the factors of 6702
:1,2,3,6,1117,2234,3351,6702
Greatest Common Factor
We found the factors 2932,6702 . The biggest common factor number is the GCF number.
So the greatest common factor 2932,6702 is 2.
Lets's calculate LCM of 819,8834
| 7 | 819, 8834 |
| 117, 1262 |
∴ So the LCM of the given numbers is 7 x 117 x 1262 = 1033578
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1033578
Therefore, the GCF of Fractions 2932/819,6702/8834 is 2/1033578
Least Common Multiple of 819,8834 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 819,8834 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(819,8834) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(819,8834) x common factors =7 x 1 = 7
LCM(819,8834) = ( 819 × 8834 ) / 7
LCM(819,8834) = 7235046 / 7
LCM(819,8834) = 1033578
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FAQs on GCF of Fractions of 2932/819, 6702/8834
1. What is the HCF of 2932,6702?
The HCF of 2932,6702 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 2932/819, 6702/8834?
Answer: GCF of Numerators as per given numbers 2932/819, 6702/8834 is
GCF of Numerators i.e. for 2932,6702 is 2
LCM of denominators i.e. for 819,8834 is 1033578.
Thus, GCF of Fractions is 2/1033578.Finally, GCF of Fractions for 2932/819, 6702/8834 is 2/1033578.