GCF of 3278/946, 3574/6462
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3278/946, 3574/6462 i.e 2/3056526 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3278/946, 3574/6462.
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 3278/946,3574/6462?
Given fractions are 3278/946,3574/6462
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 3278/946,3574/6462, numerators are 3278,3574
Denominators are 946,6462
The GCF of 3278,3574 is 2 .
LCM of 946,6462 is 3056526.
The greatest common factor of 3278/946,3574/6462 = [GCF of 3278,3574]/[LCM of 946,6462]= 2/3056526
Therefore, the GCF of 3278/946,3574/6462 is 2/3056526.
To find the highest common factor of 3278,3574, we have to find the factors of both numbers and list the highest common factor.
The factors of 3278 are 1, 2, 11, 22, 149, 298, 1639, 3278
The factors of 3574 are 1, 2, 1787, 3574
The HCF of 3278,3574 is 2.
Lets's calculate GCF of 3278,3574
| 2 | 3278, 3574 |
| 1639, 1787 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3278,3574 By Matching Biggest Common Factor Method
Now, list down the factors of 3278
:1,2,11,22,149,298,1639,3278
Now, list down the factors of 3574
:1,2,1787,3574
Greatest Common Factor
We found the factors 3278,3574 . The biggest common factor number is the GCF number.
So the greatest common factor 3278,3574 is 2.
Lets's calculate LCM of 946,6462
| 2 | 946, 6462 |
| 473, 3231 |
∴ So the LCM of the given numbers is 2 x 473 x 3231 = 3056526
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3056526
Therefore, the GCF of Fractions 3278/946,3574/6462 is 2/3056526
Least Common Multiple of 946,6462 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 946,6462 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(946,6462) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(946,6462) x common factors =2 x 1 = 2
LCM(946,6462) = ( 946 × 6462 ) / 2
LCM(946,6462) = 6113052 / 2
LCM(946,6462) = 3056526
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FAQs on GCF of Fractions of 3278/946, 3574/6462
1. What is the HCF of 3278,3574?
The HCF of 3278,3574 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 3278/946, 3574/6462?
Answer: GCF of Numerators as per given numbers 3278/946, 3574/6462 is
GCF of Numerators i.e. for 3278,3574 is 2
LCM of denominators i.e. for 946,6462 is 3056526.
Thus, GCF of Fractions is 2/3056526.Finally, GCF of Fractions for 3278/946, 3574/6462 is 2/3056526.