GCF of 4450/770, 4195/8996
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4450/770, 4195/8996 i.e 5/3463460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4450/770, 4195/8996.
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 4450/770,4195/8996?
Given fractions are 4450/770,4195/8996
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 4450/770,4195/8996, numerators are 4450,4195
Denominators are 770,8996
The GCF of 4450,4195 is 5 .
LCM of 770,8996 is 3463460.
The greatest common factor of 4450/770,4195/8996 = [GCF of 4450,4195]/[LCM of 770,8996]= 5/3463460
Therefore, the GCF of 4450/770,4195/8996 is 5/3463460.
To find the highest common factor of 4450,4195, we have to find the factors of both numbers and list the highest common factor.
The factors of 4450 are 1, 2, 5, 10, 25, 50, 89, 178, 445, 890, 2225, 4450
The factors of 4195 are 1, 5, 839, 4195
The HCF of 4450,4195 is 5.
Lets's calculate GCF of 4450,4195
| 5 | 4450, 4195 |
| 890, 839 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 4450,4195 By Matching Biggest Common Factor Method
Now, list down the factors of 4450
:1,2,5,10,25,50,89,178,445,890,2225,4450
Now, list down the factors of 4195
:1,5,839,4195
Greatest Common Factor
We found the factors 4450,4195 . The biggest common factor number is the GCF number.
So the greatest common factor 4450,4195 is 5.
Lets's calculate LCM of 770,8996
| 2 | 770, 8996 |
| 385, 4498 |
∴ So the LCM of the given numbers is 2 x 385 x 4498 = 3463460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/3463460
Therefore, the GCF of Fractions 4450/770,4195/8996 is 5/3463460
Least Common Multiple of 770,8996 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 770,8996 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(770,8996) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(770,8996) x common factors =2 x 1 = 2
LCM(770,8996) = ( 770 × 8996 ) / 2
LCM(770,8996) = 6926920 / 2
LCM(770,8996) = 3463460
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FAQs on GCF of Fractions of 4450/770, 4195/8996
1. What is the HCF of 4450,4195?
The HCF of 4450,4195 is 5
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 4450/770, 4195/8996?
Answer: GCF of Numerators as per given numbers 4450/770, 4195/8996 is
GCF of Numerators i.e. for 4450,4195 is 5
LCM of denominators i.e. for 770,8996 is 3463460.
Thus, GCF of Fractions is 5/3463460.Finally, GCF of Fractions for 4450/770, 4195/8996 is 5/3463460.