GCF of 2832/306, 6814/382
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2832/306, 6814/382 i.e 2/58446 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2832/306, 6814/382.
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 2832/306,6814/382?
Given fractions are 2832/306,6814/382
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 2832/306,6814/382, numerators are 2832,6814
Denominators are 306,382
The GCF of 2832,6814 is 2 .
LCM of 306,382 is 58446.
The greatest common factor of 2832/306,6814/382 = [GCF of 2832,6814]/[LCM of 306,382]= 2/58446
Therefore, the GCF of 2832/306,6814/382 is 2/58446.
To find the highest common factor of 2832,6814, we have to find the factors of both numbers and list the highest common factor.
The factors of 2832 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 59, 118, 177, 236, 354, 472, 708, 944, 1416, 2832
The factors of 6814 are 1, 2, 3407, 6814
The HCF of 2832,6814 is 2.
Lets's calculate GCF of 2832,6814
| 2 | 2832, 6814 |
| 1416, 3407 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2832,6814 By Matching Biggest Common Factor Method
Now, list down the factors of 2832
:1,2,3,4,6,8,12,16,24,48,59,118,177,236,354,472,708,944,1416,2832
Now, list down the factors of 6814
:1,2,3407,6814
Greatest Common Factor
We found the factors 2832,6814 . The biggest common factor number is the GCF number.
So the greatest common factor 2832,6814 is 2.
Lets's calculate LCM of 306,382
| 2 | 306, 382 |
| 153, 191 |
∴ So the LCM of the given numbers is 2 x 153 x 191 = 58446
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/58446
Therefore, the GCF of Fractions 2832/306,6814/382 is 2/58446
Least Common Multiple of 306,382 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 306,382 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(306,382) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(306,382) x common factors =2 x 1 = 2
LCM(306,382) = ( 306 × 382 ) / 2
LCM(306,382) = 116892 / 2
LCM(306,382) = 58446
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FAQs on GCF of Fractions of 2832/306, 6814/382
1. What is the HCF of 2832,6814?
The HCF of 2832,6814 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 2832/306, 6814/382?
Answer: GCF of Numerators as per given numbers 2832/306, 6814/382 is
GCF of Numerators i.e. for 2832,6814 is 2
LCM of denominators i.e. for 306,382 is 58446.
Thus, GCF of Fractions is 2/58446.Finally, GCF of Fractions for 2832/306, 6814/382 is 2/58446.