GCF of 3260/212, 1271/316
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3260/212, 1271/316 i.e 1/16748 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3260/212, 1271/316.
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 3260/212,1271/316?
Given fractions are 3260/212,1271/316
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 3260/212,1271/316, numerators are 3260,1271
Denominators are 212,316
The GCF of 3260,1271 is 1 .
LCM of 212,316 is 16748.
The greatest common factor of 3260/212,1271/316 = [GCF of 3260,1271]/[LCM of 212,316]= 1/16748
Therefore, the GCF of 3260/212,1271/316 is 1/16748.
To find the highest common factor of 3260,1271, we have to find the factors of both numbers and list the highest common factor.
The factors of 3260 are 1, 2, 4, 5, 10, 20, 163, 326, 652, 815, 1630, 3260
The factors of 1271 are 1, 31, 41, 1271
The HCF of 3260,1271 is 1.
Lets's calculate GCF of 3260,1271
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3260,1271 By Matching Biggest Common Factor Method
Now, list down the factors of 3260
:1,2,4,5,10,20,163,326,652,815,1630,3260
Now, list down the factors of 1271
:1,31,41,1271
Greatest Common Factor
We found the factors 3260,1271 . The biggest common factor number is the GCF number.
So the greatest common factor 3260,1271 is 1.
Lets's calculate LCM of 212,316
| 2 | 212, 316 |
| 2 | 106, 158 |
| 53, 79 |
∴ So the LCM of the given numbers is 2 x 2 x 53 x 79 = 16748
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16748
Therefore, the GCF of Fractions 3260/212,1271/316 is 1/16748
Least Common Multiple of 212,316 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 212,316 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(212,316) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(212,316) x common factors =4 x 1 = 4
LCM(212,316) = ( 212 × 316 ) / 4
LCM(212,316) = 66992 / 4
LCM(212,316) = 16748
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FAQs on GCF of Fractions of 3260/212, 1271/316
1. What is the HCF of 3260,1271?
The HCF of 3260,1271 is 1
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 3260/212, 1271/316?
Answer: GCF of Numerators as per given numbers 3260/212, 1271/316 is
GCF of Numerators i.e. for 3260,1271 is 1
LCM of denominators i.e. for 212,316 is 16748.
Thus, GCF of Fractions is 1/16748.Finally, GCF of Fractions for 3260/212, 1271/316 is 1/16748.