GCF of 5594/535, 7736/7413
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5594/535, 7736/7413 i.e 2/3965955 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5594/535, 7736/7413.
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 5594/535,7736/7413?
Given fractions are 5594/535,7736/7413
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 5594/535,7736/7413, numerators are 5594,7736
Denominators are 535,7413
The GCF of 5594,7736 is 2 .
LCM of 535,7413 is 3965955.
The greatest common factor of 5594/535,7736/7413 = [GCF of 5594,7736]/[LCM of 535,7413]= 2/3965955
Therefore, the GCF of 5594/535,7736/7413 is 2/3965955.
To find the highest common factor of 5594,7736, we have to find the factors of both numbers and list the highest common factor.
The factors of 5594 are 1, 2, 2797, 5594
The factors of 7736 are 1, 2, 4, 8, 967, 1934, 3868, 7736
The HCF of 5594,7736 is 2.
Lets's calculate GCF of 5594,7736
| 2 | 5594, 7736 |
| 2797, 3868 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5594,7736 By Matching Biggest Common Factor Method
Now, list down the factors of 5594
:1,2,2797,5594
Now, list down the factors of 7736
:1,2,4,8,967,1934,3868,7736
Greatest Common Factor
We found the factors 5594,7736 . The biggest common factor number is the GCF number.
So the greatest common factor 5594,7736 is 2.
Lets's calculate LCM of 535,7413
Given numbers has no common factors except 1. So, there LCM is their product i.e 3965955
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3965955
Therefore, the GCF of Fractions 5594/535,7736/7413 is 2/3965955
Least Common Multiple of 535,7413 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 535,7413 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(535,7413) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(535,7413) x common factors =1 x 1 = 1
LCM(535,7413) = ( 535 × 7413 ) / 1
LCM(535,7413) = 3965955 / 1
LCM(535,7413) = 3965955
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FAQs on GCF of Fractions of 5594/535, 7736/7413
1. What is the HCF of 5594,7736?
The HCF of 5594,7736 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 5594/535, 7736/7413?
Answer: GCF of Numerators as per given numbers 5594/535, 7736/7413 is
GCF of Numerators i.e. for 5594,7736 is 2
LCM of denominators i.e. for 535,7413 is 3965955.
Thus, GCF of Fractions is 2/3965955.Finally, GCF of Fractions for 5594/535, 7736/7413 is 2/3965955.