GCF of 3263/946, 4294/8701
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3263/946, 4294/8701 i.e 1/748286 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3263/946, 4294/8701.
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 3263/946,4294/8701?
Given fractions are 3263/946,4294/8701
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 3263/946,4294/8701, numerators are 3263,4294
Denominators are 946,8701
The GCF of 3263,4294 is 1 .
LCM of 946,8701 is 748286.
The greatest common factor of 3263/946,4294/8701 = [GCF of 3263,4294]/[LCM of 946,8701]= 1/748286
Therefore, the GCF of 3263/946,4294/8701 is 1/748286.
To find the highest common factor of 3263,4294, we have to find the factors of both numbers and list the highest common factor.
The factors of 3263 are 1, 13, 251, 3263
The factors of 4294 are 1, 2, 19, 38, 113, 226, 2147, 4294
The HCF of 3263,4294 is 1.
Lets's calculate GCF of 3263,4294
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3263,4294 By Matching Biggest Common Factor Method
Now, list down the factors of 3263
:1,13,251,3263
Now, list down the factors of 4294
:1,2,19,38,113,226,2147,4294
Greatest Common Factor
We found the factors 3263,4294 . The biggest common factor number is the GCF number.
So the greatest common factor 3263,4294 is 1.
Lets's calculate LCM of 946,8701
| 11 | 946, 8701 |
| 86, 791 |
∴ So the LCM of the given numbers is 11 x 86 x 791 = 748286
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/748286
Therefore, the GCF of Fractions 3263/946,4294/8701 is 1/748286
Least Common Multiple of 946,8701 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 946,8701 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(946,8701) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(946,8701) x common factors =11 x 1 = 11
LCM(946,8701) = ( 946 × 8701 ) / 11
LCM(946,8701) = 8231146 / 11
LCM(946,8701) = 748286
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FAQs on GCF of Fractions of 3263/946, 4294/8701
1. What is the HCF of 3263,4294?
The HCF of 3263,4294 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 3263/946, 4294/8701?
Answer: GCF of Numerators as per given numbers 3263/946, 4294/8701 is
GCF of Numerators i.e. for 3263,4294 is 1
LCM of denominators i.e. for 946,8701 is 748286.
Thus, GCF of Fractions is 1/748286.Finally, GCF of Fractions for 3263/946, 4294/8701 is 1/748286.