GCF of 353/370, 1182/696
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 353/370, 1182/696 i.e 1/128760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 353/370, 1182/696.
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 353/370,1182/696?
Given fractions are 353/370,1182/696
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 353/370,1182/696, numerators are 353,1182
Denominators are 370,696
The GCF of 353,1182 is 1 .
LCM of 370,696 is 128760.
The greatest common factor of 353/370,1182/696 = [GCF of 353,1182]/[LCM of 370,696]= 1/128760
Therefore, the GCF of 353/370,1182/696 is 1/128760.
To find the highest common factor of 353,1182, we have to find the factors of both numbers and list the highest common factor.
The factors of 353 are 1, 353
The factors of 1182 are 1, 2, 3, 6, 197, 394, 591, 1182
The HCF of 353,1182 is 1.
Lets's calculate GCF of 353,1182
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 353,1182 By Matching Biggest Common Factor Method
Now, list down the factors of 353
:1,353
Now, list down the factors of 1182
:1,2,3,6,197,394,591,1182
Greatest Common Factor
We found the factors 353,1182 . The biggest common factor number is the GCF number.
So the greatest common factor 353,1182 is 1.
Lets's calculate LCM of 370,696
| 2 | 370, 696 |
| 185, 348 |
∴ So the LCM of the given numbers is 2 x 185 x 348 = 128760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/128760
Therefore, the GCF of Fractions 353/370,1182/696 is 1/128760
Least Common Multiple of 370,696 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 370,696 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(370,696) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(370,696) x common factors =2 x 1 = 2
LCM(370,696) = ( 370 × 696 ) / 2
LCM(370,696) = 257520 / 2
LCM(370,696) = 128760
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FAQs on GCF of Fractions of 353/370, 1182/696
1. What is the HCF of 353,1182?
The HCF of 353,1182 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 353/370, 1182/696?
Answer: GCF of Numerators as per given numbers 353/370, 1182/696 is
GCF of Numerators i.e. for 353,1182 is 1
LCM of denominators i.e. for 370,696 is 128760.
Thus, GCF of Fractions is 1/128760.Finally, GCF of Fractions for 353/370, 1182/696 is 1/128760.