GCF of 3484/339, 6782/263
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3484/339, 6782/263 i.e 2/89157 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3484/339, 6782/263.
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 3484/339,6782/263?
Given fractions are 3484/339,6782/263
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 3484/339,6782/263, numerators are 3484,6782
Denominators are 339,263
The GCF of 3484,6782 is 2 .
LCM of 339,263 is 89157.
The greatest common factor of 3484/339,6782/263 = [GCF of 3484,6782]/[LCM of 339,263]= 2/89157
Therefore, the GCF of 3484/339,6782/263 is 2/89157.
To find the highest common factor of 3484,6782, we have to find the factors of both numbers and list the highest common factor.
The factors of 3484 are 1, 2, 4, 13, 26, 52, 67, 134, 268, 871, 1742, 3484
The factors of 6782 are 1, 2, 3391, 6782
The HCF of 3484,6782 is 2.
Lets's calculate GCF of 3484,6782
| 2 | 3484, 6782 |
| 1742, 3391 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3484,6782 By Matching Biggest Common Factor Method
Now, list down the factors of 3484
:1,2,4,13,26,52,67,134,268,871,1742,3484
Now, list down the factors of 6782
:1,2,3391,6782
Greatest Common Factor
We found the factors 3484,6782 . The biggest common factor number is the GCF number.
So the greatest common factor 3484,6782 is 2.
Lets's calculate LCM of 339,263
Given numbers has no common factors except 1. So, there LCM is their product i.e 89157
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/89157
Therefore, the GCF of Fractions 3484/339,6782/263 is 2/89157
Least Common Multiple of 339,263 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 339,263 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(339,263) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(339,263) x common factors =1 x 1 = 1
LCM(339,263) = ( 339 × 263 ) / 1
LCM(339,263) = 89157 / 1
LCM(339,263) = 89157
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FAQs on GCF of Fractions of 3484/339, 6782/263
1. What is the HCF of 3484,6782?
The HCF of 3484,6782 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 3484/339, 6782/263?
Answer: GCF of Numerators as per given numbers 3484/339, 6782/263 is
GCF of Numerators i.e. for 3484,6782 is 2
LCM of denominators i.e. for 339,263 is 89157.
Thus, GCF of Fractions is 2/89157.Finally, GCF of Fractions for 3484/339, 6782/263 is 2/89157.