GCF of 1407/228, 4316/8626
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1407/228, 4316/8626 i.e 1/51756 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1407/228, 4316/8626.
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 1407/228,4316/8626?
Given fractions are 1407/228,4316/8626
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 1407/228,4316/8626, numerators are 1407,4316
Denominators are 228,8626
The GCF of 1407,4316 is 1 .
LCM of 228,8626 is 51756.
The greatest common factor of 1407/228,4316/8626 = [GCF of 1407,4316]/[LCM of 228,8626]= 1/51756
Therefore, the GCF of 1407/228,4316/8626 is 1/51756.
To find the highest common factor of 1407,4316, we have to find the factors of both numbers and list the highest common factor.
The factors of 1407 are 1, 3, 7, 21, 67, 201, 469, 1407
The factors of 4316 are 1, 2, 4, 13, 26, 52, 83, 166, 332, 1079, 2158, 4316
The HCF of 1407,4316 is 1.
Lets's calculate GCF of 1407,4316
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1407,4316 By Matching Biggest Common Factor Method
Now, list down the factors of 1407
:1,3,7,21,67,201,469,1407
Now, list down the factors of 4316
:1,2,4,13,26,52,83,166,332,1079,2158,4316
Greatest Common Factor
We found the factors 1407,4316 . The biggest common factor number is the GCF number.
So the greatest common factor 1407,4316 is 1.
Lets's calculate LCM of 228,8626
| 2 | 228, 8626 |
| 19 | 114, 4313 |
| 6, 227 |
∴ So the LCM of the given numbers is 2 x 19 x 6 x 227 = 51756
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51756
Therefore, the GCF of Fractions 1407/228,4316/8626 is 1/51756
Least Common Multiple of 228,8626 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 228,8626 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(228,8626) = 38
common factors(in case of two or more numbers have common factors) = 1
GCF(228,8626) x common factors =38 x 1 = 38
LCM(228,8626) = ( 228 × 8626 ) / 38
LCM(228,8626) = 1966728 / 38
LCM(228,8626) = 51756
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FAQs on GCF of Fractions of 1407/228, 4316/8626
1. What is the HCF of 1407,4316?
The HCF of 1407,4316 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 1407/228, 4316/8626?
Answer: GCF of Numerators as per given numbers 1407/228, 4316/8626 is
GCF of Numerators i.e. for 1407,4316 is 1
LCM of denominators i.e. for 228,8626 is 51756.
Thus, GCF of Fractions is 1/51756.Finally, GCF of Fractions for 1407/228, 4316/8626 is 1/51756.