GCF of 1175/462, 2408/196
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1175/462, 2408/196 i.e 1/6468 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1175/462, 2408/196.
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 1175/462,2408/196?
Given fractions are 1175/462,2408/196
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 1175/462,2408/196, numerators are 1175,2408
Denominators are 462,196
The GCF of 1175,2408 is 1 .
LCM of 462,196 is 6468.
The greatest common factor of 1175/462,2408/196 = [GCF of 1175,2408]/[LCM of 462,196]= 1/6468
Therefore, the GCF of 1175/462,2408/196 is 1/6468.
To find the highest common factor of 1175,2408, we have to find the factors of both numbers and list the highest common factor.
The factors of 1175 are 1, 5, 25, 47, 235, 1175
The factors of 2408 are 1, 2, 4, 7, 8, 14, 28, 43, 56, 86, 172, 301, 344, 602, 1204, 2408
The HCF of 1175,2408 is 1.
Lets's calculate GCF of 1175,2408
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1175,2408 By Matching Biggest Common Factor Method
Now, list down the factors of 1175
:1,5,25,47,235,1175
Now, list down the factors of 2408
:1,2,4,7,8,14,28,43,56,86,172,301,344,602,1204,2408
Greatest Common Factor
We found the factors 1175,2408 . The biggest common factor number is the GCF number.
So the greatest common factor 1175,2408 is 1.
Lets's calculate LCM of 462,196
| 2 | 462, 196 |
| 7 | 231, 98 |
| 33, 14 |
∴ So the LCM of the given numbers is 2 x 7 x 33 x 14 = 6468
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6468
Therefore, the GCF of Fractions 1175/462,2408/196 is 1/6468
Least Common Multiple of 462,196 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 462,196 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(462,196) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(462,196) x common factors =14 x 1 = 14
LCM(462,196) = ( 462 × 196 ) / 14
LCM(462,196) = 90552 / 14
LCM(462,196) = 6468
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FAQs on GCF of Fractions of 1175/462, 2408/196
1. What is the HCF of 1175,2408?
The HCF of 1175,2408 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 1175/462, 2408/196?
Answer: GCF of Numerators as per given numbers 1175/462, 2408/196 is
GCF of Numerators i.e. for 1175,2408 is 1
LCM of denominators i.e. for 462,196 is 6468.
Thus, GCF of Fractions is 1/6468.Finally, GCF of Fractions for 1175/462, 2408/196 is 1/6468.