GCF of 7534/111, 5138/5812
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7534/111, 5138/5812 i.e 2/645132 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7534/111, 5138/5812.
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 7534/111,5138/5812?
Given fractions are 7534/111,5138/5812
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 7534/111,5138/5812, numerators are 7534,5138
Denominators are 111,5812
The GCF of 7534,5138 is 2 .
LCM of 111,5812 is 645132.
The greatest common factor of 7534/111,5138/5812 = [GCF of 7534,5138]/[LCM of 111,5812]= 2/645132
Therefore, the GCF of 7534/111,5138/5812 is 2/645132.
To find the highest common factor of 7534,5138, we have to find the factors of both numbers and list the highest common factor.
The factors of 7534 are 1, 2, 3767, 7534
The factors of 5138 are 1, 2, 7, 14, 367, 734, 2569, 5138
The HCF of 7534,5138 is 2.
Lets's calculate GCF of 7534,5138
| 2 | 7534, 5138 |
| 3767, 2569 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7534,5138 By Matching Biggest Common Factor Method
Now, list down the factors of 7534
:1,2,3767,7534
Now, list down the factors of 5138
:1,2,7,14,367,734,2569,5138
Greatest Common Factor
We found the factors 7534,5138 . The biggest common factor number is the GCF number.
So the greatest common factor 7534,5138 is 2.
Lets's calculate LCM of 111,5812
Given numbers has no common factors except 1. So, there LCM is their product i.e 645132
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/645132
Therefore, the GCF of Fractions 7534/111,5138/5812 is 2/645132
Least Common Multiple of 111,5812 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 111,5812 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(111,5812) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(111,5812) x common factors =1 x 1 = 1
LCM(111,5812) = ( 111 × 5812 ) / 1
LCM(111,5812) = 645132 / 1
LCM(111,5812) = 645132
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FAQs on GCF of Fractions of 7534/111, 5138/5812
1. What is the HCF of 7534,5138?
The HCF of 7534,5138 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 7534/111, 5138/5812?
Answer: GCF of Numerators as per given numbers 7534/111, 5138/5812 is
GCF of Numerators i.e. for 7534,5138 is 2
LCM of denominators i.e. for 111,5812 is 645132.
Thus, GCF of Fractions is 2/645132.Finally, GCF of Fractions for 7534/111, 5138/5812 is 2/645132.