GCF of 76/211, 5610/7569
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 76/211, 5610/7569 i.e 2/1597059 easily. The following is the detailed procedure to determine the greatest common factor of fractions 76/211, 5610/7569.
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 76/211,5610/7569?
Given fractions are 76/211,5610/7569
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 76/211,5610/7569, numerators are 76,5610
Denominators are 211,7569
The GCF of 76,5610 is 2 .
LCM of 211,7569 is 1597059.
The greatest common factor of 76/211,5610/7569 = [GCF of 76,5610]/[LCM of 211,7569]= 2/1597059
Therefore, the GCF of 76/211,5610/7569 is 2/1597059.
To find the highest common factor of 76,5610, we have to find the factors of both numbers and list the highest common factor.
The factors of 76 are 1, 2, 4, 19, 38, 76
The factors of 5610 are 1, 2, 3, 5, 6, 10, 11, 15, 17, 22, 30, 33, 34, 51, 55, 66, 85, 102, 110, 165, 170, 187, 255, 330, 374, 510, 561, 935, 1122, 1870, 2805, 5610
The HCF of 76,5610 is 2.
Lets's calculate GCF of 76,5610
| 2 | 76, 5610 |
| 38, 2805 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 76,5610 By Matching Biggest Common Factor Method
Now, list down the factors of 76
:1,2,4,19,38,76
Now, list down the factors of 5610
:1,2,3,5,6,10,11,15,17,22,30,33,34,51,55,66,85,102,110,165,170,187,255,330,374,510,561,935,1122,1870,2805,5610
Greatest Common Factor
We found the factors 76,5610 . The biggest common factor number is the GCF number.
So the greatest common factor 76,5610 is 2.
Lets's calculate LCM of 211,7569
Given numbers has no common factors except 1. So, there LCM is their product i.e 1597059
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1597059
Therefore, the GCF of Fractions 76/211,5610/7569 is 2/1597059
Least Common Multiple of 211,7569 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 211,7569 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(211,7569) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(211,7569) x common factors =1 x 1 = 1
LCM(211,7569) = ( 211 × 7569 ) / 1
LCM(211,7569) = 1597059 / 1
LCM(211,7569) = 1597059
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FAQs on GCF of Fractions of 76/211, 5610/7569
1. What is the HCF of 76,5610?
The HCF of 76,5610 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 76/211, 5610/7569?
Answer: GCF of Numerators as per given numbers 76/211, 5610/7569 is
GCF of Numerators i.e. for 76,5610 is 2
LCM of denominators i.e. for 211,7569 is 1597059.
Thus, GCF of Fractions is 2/1597059.Finally, GCF of Fractions for 76/211, 5610/7569 is 2/1597059.