GCF of 5702/600, 6696/6377
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5702/600, 6696/6377 i.e 2/3826200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5702/600, 6696/6377.
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 5702/600,6696/6377?
Given fractions are 5702/600,6696/6377
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 5702/600,6696/6377, numerators are 5702,6696
Denominators are 600,6377
The GCF of 5702,6696 is 2 .
LCM of 600,6377 is 3826200.
The greatest common factor of 5702/600,6696/6377 = [GCF of 5702,6696]/[LCM of 600,6377]= 2/3826200
Therefore, the GCF of 5702/600,6696/6377 is 2/3826200.
To find the highest common factor of 5702,6696, 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 6696 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 31, 36, 54, 62, 72, 93, 108, 124, 186, 216, 248, 279, 372, 558, 744, 837, 1116, 1674, 2232, 3348, 6696
The HCF of 5702,6696 is 2.
Lets's calculate GCF of 5702,6696
| 2 | 5702, 6696 |
| 2851, 3348 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5702,6696 By Matching Biggest Common Factor Method
Now, list down the factors of 5702
:1,2,2851,5702
Now, list down the factors of 6696
:1,2,3,4,6,8,9,12,18,24,27,31,36,54,62,72,93,108,124,186,216,248,279,372,558,744,837,1116,1674,2232,3348,6696
Greatest Common Factor
We found the factors 5702,6696 . The biggest common factor number is the GCF number.
So the greatest common factor 5702,6696 is 2.
Lets's calculate LCM of 600,6377
Given numbers has no common factors except 1. So, there LCM is their product i.e 3826200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3826200
Therefore, the GCF of Fractions 5702/600,6696/6377 is 2/3826200
Least Common Multiple of 600,6377 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 600,6377 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(600,6377) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(600,6377) x common factors =1 x 1 = 1
LCM(600,6377) = ( 600 × 6377 ) / 1
LCM(600,6377) = 3826200 / 1
LCM(600,6377) = 3826200
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FAQs on GCF of Fractions of 5702/600, 6696/6377
1. What is the HCF of 5702,6696?
The HCF of 5702,6696 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 5702/600, 6696/6377?
Answer: GCF of Numerators as per given numbers 5702/600, 6696/6377 is
GCF of Numerators i.e. for 5702,6696 is 2
LCM of denominators i.e. for 600,6377 is 3826200.
Thus, GCF of Fractions is 2/3826200.Finally, GCF of Fractions for 5702/600, 6696/6377 is 2/3826200.