GCF of 773/414, 112/632
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 773/414, 112/632 i.e 1/130824 easily. The following is the detailed procedure to determine the greatest common factor of fractions 773/414, 112/632.
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 773/414,112/632?
Given fractions are 773/414,112/632
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 773/414,112/632, numerators are 773,112
Denominators are 414,632
The GCF of 773,112 is 1 .
LCM of 414,632 is 130824.
The greatest common factor of 773/414,112/632 = [GCF of 773,112]/[LCM of 414,632]= 1/130824
Therefore, the GCF of 773/414,112/632 is 1/130824.
To find the highest common factor of 773,112, we have to find the factors of both numbers and list the highest common factor.
The factors of 773 are 1, 773
The factors of 112 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
The HCF of 773,112 is 1.
Lets's calculate GCF of 773,112
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 773,112 By Matching Biggest Common Factor Method
Now, list down the factors of 773
:1,773
Now, list down the factors of 112
:1,2,4,7,8,14,16,28,56,112
Greatest Common Factor
We found the factors 773,112 . The biggest common factor number is the GCF number.
So the greatest common factor 773,112 is 1.
Lets's calculate LCM of 414,632
| 2 | 414, 632 |
| 207, 316 |
∴ So the LCM of the given numbers is 2 x 207 x 316 = 130824
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/130824
Therefore, the GCF of Fractions 773/414,112/632 is 1/130824
Least Common Multiple of 414,632 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 414,632 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(414,632) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(414,632) x common factors =2 x 1 = 2
LCM(414,632) = ( 414 × 632 ) / 2
LCM(414,632) = 261648 / 2
LCM(414,632) = 130824
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FAQs on GCF of Fractions of 773/414, 112/632
1. What is the HCF of 773,112?
The HCF of 773,112 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 773/414, 112/632?
Answer: GCF of Numerators as per given numbers 773/414, 112/632 is
GCF of Numerators i.e. for 773,112 is 1
LCM of denominators i.e. for 414,632 is 130824.
Thus, GCF of Fractions is 1/130824.Finally, GCF of Fractions for 773/414, 112/632 is 1/130824.