GCF of 4312/313, 5396/9488
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4312/313, 5396/9488 i.e 4/2969744 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4312/313, 5396/9488.
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 4312/313,5396/9488?
Given fractions are 4312/313,5396/9488
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 4312/313,5396/9488, numerators are 4312,5396
Denominators are 313,9488
The GCF of 4312,5396 is 4 .
LCM of 313,9488 is 2969744.
The greatest common factor of 4312/313,5396/9488 = [GCF of 4312,5396]/[LCM of 313,9488]= 4/2969744
Therefore, the GCF of 4312/313,5396/9488 is 4/2969744.
To find the highest common factor of 4312,5396, we have to find the factors of both numbers and list the highest common factor.
The factors of 4312 are 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 49, 56, 77, 88, 98, 154, 196, 308, 392, 539, 616, 1078, 2156, 4312
The factors of 5396 are 1, 2, 4, 19, 38, 71, 76, 142, 284, 1349, 2698, 5396
The HCF of 4312,5396 is 4.
Lets's calculate GCF of 4312,5396
| 2 | 4312, 5396 |
| 2 | 2156, 2698 |
| 1078, 1349 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4312,5396 By Matching Biggest Common Factor Method
Now, list down the factors of 4312
:1,2,4,7,8,11,14,22,28,44,49,56,77,88,98,154,196,308,392,539,616,1078,2156,4312
Now, list down the factors of 5396
:1,2,4,19,38,71,76,142,284,1349,2698,5396
Greatest Common Factor
We found the factors 4312,5396 . The biggest common factor number is the GCF number.
So the greatest common factor 4312,5396 is 4.
Lets's calculate LCM of 313,9488
Given numbers has no common factors except 1. So, there LCM is their product i.e 2969744
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2969744
Therefore, the GCF of Fractions 4312/313,5396/9488 is 4/2969744
Least Common Multiple of 313,9488 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 313,9488 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(313,9488) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(313,9488) x common factors =1 x 1 = 1
LCM(313,9488) = ( 313 × 9488 ) / 1
LCM(313,9488) = 2969744 / 1
LCM(313,9488) = 2969744
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4312/313, 5396/9488
1. What is the HCF of 4312,5396?
The HCF of 4312,5396 is 4
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 4312/313, 5396/9488?
Answer: GCF of Numerators as per given numbers 4312/313, 5396/9488 is
GCF of Numerators i.e. for 4312,5396 is 4
LCM of denominators i.e. for 313,9488 is 2969744.
Thus, GCF of Fractions is 4/2969744.Finally, GCF of Fractions for 4312/313, 5396/9488 is 4/2969744.