GCF of 3925/414, 6776/596
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3925/414, 6776/596 i.e 1/123372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3925/414, 6776/596.
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 3925/414,6776/596?
Given fractions are 3925/414,6776/596
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 3925/414,6776/596, numerators are 3925,6776
Denominators are 414,596
The GCF of 3925,6776 is 1 .
LCM of 414,596 is 123372.
The greatest common factor of 3925/414,6776/596 = [GCF of 3925,6776]/[LCM of 414,596]= 1/123372
Therefore, the GCF of 3925/414,6776/596 is 1/123372.
To find the highest common factor of 3925,6776, we have to find the factors of both numbers and list the highest common factor.
The factors of 3925 are 1, 5, 25, 157, 785, 3925
The factors of 6776 are 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 121, 154, 242, 308, 484, 616, 847, 968, 1694, 3388, 6776
The HCF of 3925,6776 is 1.
Lets's calculate GCF of 3925,6776
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3925,6776 By Matching Biggest Common Factor Method
Now, list down the factors of 3925
:1,5,25,157,785,3925
Now, list down the factors of 6776
:1,2,4,7,8,11,14,22,28,44,56,77,88,121,154,242,308,484,616,847,968,1694,3388,6776
Greatest Common Factor
We found the factors 3925,6776 . The biggest common factor number is the GCF number.
So the greatest common factor 3925,6776 is 1.
Lets's calculate LCM of 414,596
| 2 | 414, 596 |
| 207, 298 |
∴ So the LCM of the given numbers is 2 x 207 x 298 = 123372
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/123372
Therefore, the GCF of Fractions 3925/414,6776/596 is 1/123372
Least Common Multiple of 414,596 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 414,596 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(414,596) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(414,596) x common factors =2 x 1 = 2
LCM(414,596) = ( 414 × 596 ) / 2
LCM(414,596) = 246744 / 2
LCM(414,596) = 123372
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FAQs on GCF of Fractions of 3925/414, 6776/596
1. What is the HCF of 3925,6776?
The HCF of 3925,6776 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 3925/414, 6776/596?
Answer: GCF of Numerators as per given numbers 3925/414, 6776/596 is
GCF of Numerators i.e. for 3925,6776 is 1
LCM of denominators i.e. for 414,596 is 123372.
Thus, GCF of Fractions is 1/123372.Finally, GCF of Fractions for 3925/414, 6776/596 is 1/123372.