GCF of 3561/556, 7417/796
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3561/556, 7417/796 i.e 1/110644 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3561/556, 7417/796.
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 3561/556,7417/796?
Given fractions are 3561/556,7417/796
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 3561/556,7417/796, numerators are 3561,7417
Denominators are 556,796
The GCF of 3561,7417 is 1 .
LCM of 556,796 is 110644.
The greatest common factor of 3561/556,7417/796 = [GCF of 3561,7417]/[LCM of 556,796]= 1/110644
Therefore, the GCF of 3561/556,7417/796 is 1/110644.
To find the highest common factor of 3561,7417, we have to find the factors of both numbers and list the highest common factor.
The factors of 3561 are 1, 3, 1187, 3561
The factors of 7417 are 1, 7417
The HCF of 3561,7417 is 1.
Lets's calculate GCF of 3561,7417
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3561,7417 By Matching Biggest Common Factor Method
Now, list down the factors of 3561
:1,3,1187,3561
Now, list down the factors of 7417
:1,7417
Greatest Common Factor
We found the factors 3561,7417 . The biggest common factor number is the GCF number.
So the greatest common factor 3561,7417 is 1.
Lets's calculate LCM of 556,796
| 2 | 556, 796 |
| 2 | 278, 398 |
| 139, 199 |
∴ So the LCM of the given numbers is 2 x 2 x 139 x 199 = 110644
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/110644
Therefore, the GCF of Fractions 3561/556,7417/796 is 1/110644
Least Common Multiple of 556,796 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 556,796 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(556,796) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(556,796) x common factors =4 x 1 = 4
LCM(556,796) = ( 556 × 796 ) / 4
LCM(556,796) = 442576 / 4
LCM(556,796) = 110644
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FAQs on GCF of Fractions of 3561/556, 7417/796
1. What is the HCF of 3561,7417?
The HCF of 3561,7417 is 1
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 3561/556, 7417/796?
Answer: GCF of Numerators as per given numbers 3561/556, 7417/796 is
GCF of Numerators i.e. for 3561,7417 is 1
LCM of denominators i.e. for 556,796 is 110644.
Thus, GCF of Fractions is 1/110644.Finally, GCF of Fractions for 3561/556, 7417/796 is 1/110644.