GCF of 3156/802, 8314/3229
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3156/802, 8314/3229 i.e 2/2589658 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3156/802, 8314/3229.
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 3156/802,8314/3229?
Given fractions are 3156/802,8314/3229
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 3156/802,8314/3229, numerators are 3156,8314
Denominators are 802,3229
The GCF of 3156,8314 is 2 .
LCM of 802,3229 is 2589658.
The greatest common factor of 3156/802,8314/3229 = [GCF of 3156,8314]/[LCM of 802,3229]= 2/2589658
Therefore, the GCF of 3156/802,8314/3229 is 2/2589658.
To find the highest common factor of 3156,8314, we have to find the factors of both numbers and list the highest common factor.
The factors of 3156 are 1, 2, 3, 4, 6, 12, 263, 526, 789, 1052, 1578, 3156
The factors of 8314 are 1, 2, 4157, 8314
The HCF of 3156,8314 is 2.
Lets's calculate GCF of 3156,8314
| 2 | 3156, 8314 |
| 1578, 4157 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3156,8314 By Matching Biggest Common Factor Method
Now, list down the factors of 3156
:1,2,3,4,6,12,263,526,789,1052,1578,3156
Now, list down the factors of 8314
:1,2,4157,8314
Greatest Common Factor
We found the factors 3156,8314 . The biggest common factor number is the GCF number.
So the greatest common factor 3156,8314 is 2.
Lets's calculate LCM of 802,3229
Given numbers has no common factors except 1. So, there LCM is their product i.e 2589658
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2589658
Therefore, the GCF of Fractions 3156/802,8314/3229 is 2/2589658
Least Common Multiple of 802,3229 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 802,3229 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(802,3229) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(802,3229) x common factors =1 x 1 = 1
LCM(802,3229) = ( 802 × 3229 ) / 1
LCM(802,3229) = 2589658 / 1
LCM(802,3229) = 2589658
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FAQs on GCF of Fractions of 3156/802, 8314/3229
1. What is the HCF of 3156,8314?
The HCF of 3156,8314 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 3156/802, 8314/3229?
Answer: GCF of Numerators as per given numbers 3156/802, 8314/3229 is
GCF of Numerators i.e. for 3156,8314 is 2
LCM of denominators i.e. for 802,3229 is 2589658.
Thus, GCF of Fractions is 2/2589658.Finally, GCF of Fractions for 3156/802, 8314/3229 is 2/2589658.