GCF of 1266/205, 3238/3450
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1266/205, 3238/3450 i.e 2/141450 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1266/205, 3238/3450.
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 1266/205,3238/3450?
Given fractions are 1266/205,3238/3450
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 1266/205,3238/3450, numerators are 1266,3238
Denominators are 205,3450
The GCF of 1266,3238 is 2 .
LCM of 205,3450 is 141450.
The greatest common factor of 1266/205,3238/3450 = [GCF of 1266,3238]/[LCM of 205,3450]= 2/141450
Therefore, the GCF of 1266/205,3238/3450 is 2/141450.
To find the highest common factor of 1266,3238, we have to find the factors of both numbers and list the highest common factor.
The factors of 1266 are 1, 2, 3, 6, 211, 422, 633, 1266
The factors of 3238 are 1, 2, 1619, 3238
The HCF of 1266,3238 is 2.
Lets's calculate GCF of 1266,3238
| 2 | 1266, 3238 |
| 633, 1619 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1266,3238 By Matching Biggest Common Factor Method
Now, list down the factors of 1266
:1,2,3,6,211,422,633,1266
Now, list down the factors of 3238
:1,2,1619,3238
Greatest Common Factor
We found the factors 1266,3238 . The biggest common factor number is the GCF number.
So the greatest common factor 1266,3238 is 2.
Lets's calculate LCM of 205,3450
| 5 | 205, 3450 |
| 41, 690 |
∴ So the LCM of the given numbers is 5 x 41 x 690 = 141450
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/141450
Therefore, the GCF of Fractions 1266/205,3238/3450 is 2/141450
Least Common Multiple of 205,3450 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 205,3450 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(205,3450) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(205,3450) x common factors =5 x 1 = 5
LCM(205,3450) = ( 205 × 3450 ) / 5
LCM(205,3450) = 707250 / 5
LCM(205,3450) = 141450
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FAQs on GCF of Fractions of 1266/205, 3238/3450
1. What is the HCF of 1266,3238?
The HCF of 1266,3238 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 1266/205, 3238/3450?
Answer: GCF of Numerators as per given numbers 1266/205, 3238/3450 is
GCF of Numerators i.e. for 1266,3238 is 2
LCM of denominators i.e. for 205,3450 is 141450.
Thus, GCF of Fractions is 2/141450.Finally, GCF of Fractions for 1266/205, 3238/3450 is 2/141450.