GCF of 4453/310, 3271/7636
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4453/310, 3271/7636 i.e 1/1183580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4453/310, 3271/7636.
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 4453/310,3271/7636?
Given fractions are 4453/310,3271/7636
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 4453/310,3271/7636, numerators are 4453,3271
Denominators are 310,7636
The GCF of 4453,3271 is 1 .
LCM of 310,7636 is 1183580.
The greatest common factor of 4453/310,3271/7636 = [GCF of 4453,3271]/[LCM of 310,7636]= 1/1183580
Therefore, the GCF of 4453/310,3271/7636 is 1/1183580.
To find the highest common factor of 4453,3271, we have to find the factors of both numbers and list the highest common factor.
The factors of 4453 are 1, 61, 73, 4453
The factors of 3271 are 1, 3271
The HCF of 4453,3271 is 1.
Lets's calculate GCF of 4453,3271
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4453,3271 By Matching Biggest Common Factor Method
Now, list down the factors of 4453
:1,61,73,4453
Now, list down the factors of 3271
:1,3271
Greatest Common Factor
We found the factors 4453,3271 . The biggest common factor number is the GCF number.
So the greatest common factor 4453,3271 is 1.
Lets's calculate LCM of 310,7636
| 2 | 310, 7636 |
| 155, 3818 |
∴ So the LCM of the given numbers is 2 x 155 x 3818 = 1183580
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1183580
Therefore, the GCF of Fractions 4453/310,3271/7636 is 1/1183580
Least Common Multiple of 310,7636 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 310,7636 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(310,7636) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(310,7636) x common factors =2 x 1 = 2
LCM(310,7636) = ( 310 × 7636 ) / 2
LCM(310,7636) = 2367160 / 2
LCM(310,7636) = 1183580
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FAQs on GCF of Fractions of 4453/310, 3271/7636
1. What is the HCF of 4453,3271?
The HCF of 4453,3271 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 4453/310, 3271/7636?
Answer: GCF of Numerators as per given numbers 4453/310, 3271/7636 is
GCF of Numerators i.e. for 4453,3271 is 1
LCM of denominators i.e. for 310,7636 is 1183580.
Thus, GCF of Fractions is 1/1183580.Finally, GCF of Fractions for 4453/310, 3271/7636 is 1/1183580.