GCF of 5702/162, 7781/2636
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5702/162, 7781/2636 i.e 1/213516 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5702/162, 7781/2636.
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 5702/162,7781/2636?
Given fractions are 5702/162,7781/2636
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 5702/162,7781/2636, numerators are 5702,7781
Denominators are 162,2636
The GCF of 5702,7781 is 1 .
LCM of 162,2636 is 213516.
The greatest common factor of 5702/162,7781/2636 = [GCF of 5702,7781]/[LCM of 162,2636]= 1/213516
Therefore, the GCF of 5702/162,7781/2636 is 1/213516.
To find the highest common factor of 5702,7781, we have to find the factors of both numbers and list the highest common factor.
The factors of 5702 are 1, 2, 2851, 5702
The factors of 7781 are 1, 31, 251, 7781
The HCF of 5702,7781 is 1.
Lets's calculate GCF of 5702,7781
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5702,7781 By Matching Biggest Common Factor Method
Now, list down the factors of 5702
:1,2,2851,5702
Now, list down the factors of 7781
:1,31,251,7781
Greatest Common Factor
We found the factors 5702,7781 . The biggest common factor number is the GCF number.
So the greatest common factor 5702,7781 is 1.
Lets's calculate LCM of 162,2636
| 2 | 162, 2636 |
| 81, 1318 |
∴ So the LCM of the given numbers is 2 x 81 x 1318 = 213516
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/213516
Therefore, the GCF of Fractions 5702/162,7781/2636 is 1/213516
Least Common Multiple of 162,2636 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 162,2636 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(162,2636) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(162,2636) x common factors =2 x 1 = 2
LCM(162,2636) = ( 162 × 2636 ) / 2
LCM(162,2636) = 427032 / 2
LCM(162,2636) = 213516
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FAQs on GCF of Fractions of 5702/162, 7781/2636
1. What is the HCF of 5702,7781?
The HCF of 5702,7781 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 5702/162, 7781/2636?
Answer: GCF of Numerators as per given numbers 5702/162, 7781/2636 is
GCF of Numerators i.e. for 5702,7781 is 1
LCM of denominators i.e. for 162,2636 is 213516.
Thus, GCF of Fractions is 1/213516.Finally, GCF of Fractions for 5702/162, 7781/2636 is 1/213516.