GCF of 5962/491, 2274/9572
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5962/491, 2274/9572 i.e 2/4699852 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5962/491, 2274/9572.
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 5962/491,2274/9572?
Given fractions are 5962/491,2274/9572
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 5962/491,2274/9572, numerators are 5962,2274
Denominators are 491,9572
The GCF of 5962,2274 is 2 .
LCM of 491,9572 is 4699852.
The greatest common factor of 5962/491,2274/9572 = [GCF of 5962,2274]/[LCM of 491,9572]= 2/4699852
Therefore, the GCF of 5962/491,2274/9572 is 2/4699852.
To find the highest common factor of 5962,2274, we have to find the factors of both numbers and list the highest common factor.
The factors of 5962 are 1, 2, 11, 22, 271, 542, 2981, 5962
The factors of 2274 are 1, 2, 3, 6, 379, 758, 1137, 2274
The HCF of 5962,2274 is 2.
Lets's calculate GCF of 5962,2274
| 2 | 5962, 2274 |
| 2981, 1137 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5962,2274 By Matching Biggest Common Factor Method
Now, list down the factors of 5962
:1,2,11,22,271,542,2981,5962
Now, list down the factors of 2274
:1,2,3,6,379,758,1137,2274
Greatest Common Factor
We found the factors 5962,2274 . The biggest common factor number is the GCF number.
So the greatest common factor 5962,2274 is 2.
Lets's calculate LCM of 491,9572
Given numbers has no common factors except 1. So, there LCM is their product i.e 4699852
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4699852
Therefore, the GCF of Fractions 5962/491,2274/9572 is 2/4699852
Least Common Multiple of 491,9572 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 491,9572 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(491,9572) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(491,9572) x common factors =1 x 1 = 1
LCM(491,9572) = ( 491 × 9572 ) / 1
LCM(491,9572) = 4699852 / 1
LCM(491,9572) = 4699852
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FAQs on GCF of Fractions of 5962/491, 2274/9572
1. What is the HCF of 5962,2274?
The HCF of 5962,2274 is 2
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 5962/491, 2274/9572?
Answer: GCF of Numerators as per given numbers 5962/491, 2274/9572 is
GCF of Numerators i.e. for 5962,2274 is 2
LCM of denominators i.e. for 491,9572 is 4699852.
Thus, GCF of Fractions is 2/4699852.Finally, GCF of Fractions for 5962/491, 2274/9572 is 2/4699852.