GCF of 5134/236, 3835/448
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5134/236, 3835/448 i.e 1/26432 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5134/236, 3835/448.
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 5134/236,3835/448?
Given fractions are 5134/236,3835/448
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 5134/236,3835/448, numerators are 5134,3835
Denominators are 236,448
The GCF of 5134,3835 is 1 .
LCM of 236,448 is 26432.
The greatest common factor of 5134/236,3835/448 = [GCF of 5134,3835]/[LCM of 236,448]= 1/26432
Therefore, the GCF of 5134/236,3835/448 is 1/26432.
To find the highest common factor of 5134,3835, we have to find the factors of both numbers and list the highest common factor.
The factors of 5134 are 1, 2, 17, 34, 151, 302, 2567, 5134
The factors of 3835 are 1, 5, 13, 59, 65, 295, 767, 3835
The HCF of 5134,3835 is 1.
Lets's calculate GCF of 5134,3835
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5134,3835 By Matching Biggest Common Factor Method
Now, list down the factors of 5134
:1,2,17,34,151,302,2567,5134
Now, list down the factors of 3835
:1,5,13,59,65,295,767,3835
Greatest Common Factor
We found the factors 5134,3835 . The biggest common factor number is the GCF number.
So the greatest common factor 5134,3835 is 1.
Lets's calculate LCM of 236,448
| 2 | 236, 448 |
| 2 | 118, 224 |
| 59, 112 |
∴ So the LCM of the given numbers is 2 x 2 x 59 x 112 = 26432
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26432
Therefore, the GCF of Fractions 5134/236,3835/448 is 1/26432
Least Common Multiple of 236,448 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 236,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(236,448) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(236,448) x common factors =4 x 1 = 4
LCM(236,448) = ( 236 × 448 ) / 4
LCM(236,448) = 105728 / 4
LCM(236,448) = 26432
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FAQs on GCF of Fractions of 5134/236, 3835/448
1. What is the HCF of 5134,3835?
The HCF of 5134,3835 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 5134/236, 3835/448?
Answer: GCF of Numerators as per given numbers 5134/236, 3835/448 is
GCF of Numerators i.e. for 5134,3835 is 1
LCM of denominators i.e. for 236,448 is 26432.
Thus, GCF of Fractions is 1/26432.Finally, GCF of Fractions for 5134/236, 3835/448 is 1/26432.