GCF of 7036/534, 7558/2768
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7036/534, 7558/2768 i.e 2/739056 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7036/534, 7558/2768.
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 7036/534,7558/2768?
Given fractions are 7036/534,7558/2768
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 7036/534,7558/2768, numerators are 7036,7558
Denominators are 534,2768
The GCF of 7036,7558 is 2 .
LCM of 534,2768 is 739056.
The greatest common factor of 7036/534,7558/2768 = [GCF of 7036,7558]/[LCM of 534,2768]= 2/739056
Therefore, the GCF of 7036/534,7558/2768 is 2/739056.
To find the highest common factor of 7036,7558, we have to find the factors of both numbers and list the highest common factor.
The factors of 7036 are 1, 2, 4, 1759, 3518, 7036
The factors of 7558 are 1, 2, 3779, 7558
The HCF of 7036,7558 is 2.
Lets's calculate GCF of 7036,7558
| 2 | 7036, 7558 |
| 3518, 3779 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7036,7558 By Matching Biggest Common Factor Method
Now, list down the factors of 7036
:1,2,4,1759,3518,7036
Now, list down the factors of 7558
:1,2,3779,7558
Greatest Common Factor
We found the factors 7036,7558 . The biggest common factor number is the GCF number.
So the greatest common factor 7036,7558 is 2.
Lets's calculate LCM of 534,2768
| 2 | 534, 2768 |
| 267, 1384 |
∴ So the LCM of the given numbers is 2 x 267 x 1384 = 739056
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/739056
Therefore, the GCF of Fractions 7036/534,7558/2768 is 2/739056
Least Common Multiple of 534,2768 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 534,2768 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(534,2768) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(534,2768) x common factors =2 x 1 = 2
LCM(534,2768) = ( 534 × 2768 ) / 2
LCM(534,2768) = 1478112 / 2
LCM(534,2768) = 739056
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FAQs on GCF of Fractions of 7036/534, 7558/2768
1. What is the HCF of 7036,7558?
The HCF of 7036,7558 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 7036/534, 7558/2768?
Answer: GCF of Numerators as per given numbers 7036/534, 7558/2768 is
GCF of Numerators i.e. for 7036,7558 is 2
LCM of denominators i.e. for 534,2768 is 739056.
Thus, GCF of Fractions is 2/739056.Finally, GCF of Fractions for 7036/534, 7558/2768 is 2/739056.