GCF of 7136/546, 3596/7495
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7136/546, 3596/7495 i.e 4/4092270 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7136/546, 3596/7495.
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 7136/546,3596/7495?
Given fractions are 7136/546,3596/7495
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 7136/546,3596/7495, numerators are 7136,3596
Denominators are 546,7495
The GCF of 7136,3596 is 4 .
LCM of 546,7495 is 4092270.
The greatest common factor of 7136/546,3596/7495 = [GCF of 7136,3596]/[LCM of 546,7495]= 4/4092270
Therefore, the GCF of 7136/546,3596/7495 is 4/4092270.
To find the highest common factor of 7136,3596, we have to find the factors of both numbers and list the highest common factor.
The factors of 7136 are 1, 2, 4, 8, 16, 32, 223, 446, 892, 1784, 3568, 7136
The factors of 3596 are 1, 2, 4, 29, 31, 58, 62, 116, 124, 899, 1798, 3596
The HCF of 7136,3596 is 4.
Lets's calculate GCF of 7136,3596
| 2 | 7136, 3596 |
| 2 | 3568, 1798 |
| 1784, 899 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 7136,3596 By Matching Biggest Common Factor Method
Now, list down the factors of 7136
:1,2,4,8,16,32,223,446,892,1784,3568,7136
Now, list down the factors of 3596
:1,2,4,29,31,58,62,116,124,899,1798,3596
Greatest Common Factor
We found the factors 7136,3596 . The biggest common factor number is the GCF number.
So the greatest common factor 7136,3596 is 4.
Lets's calculate LCM of 546,7495
Given numbers has no common factors except 1. So, there LCM is their product i.e 4092270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/4092270
Therefore, the GCF of Fractions 7136/546,3596/7495 is 4/4092270
Least Common Multiple of 546,7495 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 546,7495 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(546,7495) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(546,7495) x common factors =1 x 1 = 1
LCM(546,7495) = ( 546 × 7495 ) / 1
LCM(546,7495) = 4092270 / 1
LCM(546,7495) = 4092270
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FAQs on GCF of Fractions of 7136/546, 3596/7495
1. What is the HCF of 7136,3596?
The HCF of 7136,3596 is 4
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 7136/546, 3596/7495?
Answer: GCF of Numerators as per given numbers 7136/546, 3596/7495 is
GCF of Numerators i.e. for 7136,3596 is 4
LCM of denominators i.e. for 546,7495 is 4092270.
Thus, GCF of Fractions is 4/4092270.Finally, GCF of Fractions for 7136/546, 3596/7495 is 4/4092270.