GCF of 7753/16, 6029/274
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7753/16, 6029/274 i.e 1/2192 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7753/16, 6029/274.
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 7753/16,6029/274?
Given fractions are 7753/16,6029/274
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 7753/16,6029/274, numerators are 7753,6029
Denominators are 16,274
The GCF of 7753,6029 is 1 .
LCM of 16,274 is 2192.
The greatest common factor of 7753/16,6029/274 = [GCF of 7753,6029]/[LCM of 16,274]= 1/2192
Therefore, the GCF of 7753/16,6029/274 is 1/2192.
To find the highest common factor of 7753,6029, we have to find the factors of both numbers and list the highest common factor.
The factors of 7753 are 1, 7753
The factors of 6029 are 1, 6029
The HCF of 7753,6029 is 1.
Lets's calculate GCF of 7753,6029
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7753,6029 By Matching Biggest Common Factor Method
Now, list down the factors of 7753
:1,7753
Now, list down the factors of 6029
:1,6029
Greatest Common Factor
We found the factors 7753,6029 . The biggest common factor number is the GCF number.
So the greatest common factor 7753,6029 is 1.
Lets's calculate LCM of 16,274
| 2 | 16, 274 |
| 8, 137 |
∴ So the LCM of the given numbers is 2 x 8 x 137 = 2192
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2192
Therefore, the GCF of Fractions 7753/16,6029/274 is 1/2192
Least Common Multiple of 16,274 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 16,274 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,274) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(16,274) x common factors =2 x 1 = 2
LCM(16,274) = ( 16 × 274 ) / 2
LCM(16,274) = 4384 / 2
LCM(16,274) = 2192
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FAQs on GCF of Fractions of 7753/16, 6029/274
1. What is the HCF of 7753,6029?
The HCF of 7753,6029 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 7753/16, 6029/274?
Answer: GCF of Numerators as per given numbers 7753/16, 6029/274 is
GCF of Numerators i.e. for 7753,6029 is 1
LCM of denominators i.e. for 16,274 is 2192.
Thus, GCF of Fractions is 1/2192.Finally, GCF of Fractions for 7753/16, 6029/274 is 1/2192.