GCF of 1450/655, 9352/6882
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1450/655, 9352/6882 i.e 2/4507710 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1450/655, 9352/6882.
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 1450/655,9352/6882?
Given fractions are 1450/655,9352/6882
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 1450/655,9352/6882, numerators are 1450,9352
Denominators are 655,6882
The GCF of 1450,9352 is 2 .
LCM of 655,6882 is 4507710.
The greatest common factor of 1450/655,9352/6882 = [GCF of 1450,9352]/[LCM of 655,6882]= 2/4507710
Therefore, the GCF of 1450/655,9352/6882 is 2/4507710.
To find the highest common factor of 1450,9352, we have to find the factors of both numbers and list the highest common factor.
The factors of 1450 are 1, 2, 5, 10, 25, 29, 50, 58, 145, 290, 725, 1450
The factors of 9352 are 1, 2, 4, 7, 8, 14, 28, 56, 167, 334, 668, 1169, 1336, 2338, 4676, 9352
The HCF of 1450,9352 is 2.
Lets's calculate GCF of 1450,9352
| 2 | 1450, 9352 |
| 725, 4676 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1450,9352 By Matching Biggest Common Factor Method
Now, list down the factors of 1450
:1,2,5,10,25,29,50,58,145,290,725,1450
Now, list down the factors of 9352
:1,2,4,7,8,14,28,56,167,334,668,1169,1336,2338,4676,9352
Greatest Common Factor
We found the factors 1450,9352 . The biggest common factor number is the GCF number.
So the greatest common factor 1450,9352 is 2.
Lets's calculate LCM of 655,6882
Given numbers has no common factors except 1. So, there LCM is their product i.e 4507710
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4507710
Therefore, the GCF of Fractions 1450/655,9352/6882 is 2/4507710
Least Common Multiple of 655,6882 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 655,6882 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(655,6882) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(655,6882) x common factors =1 x 1 = 1
LCM(655,6882) = ( 655 × 6882 ) / 1
LCM(655,6882) = 4507710 / 1
LCM(655,6882) = 4507710
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FAQs on GCF of Fractions of 1450/655, 9352/6882
1. What is the HCF of 1450,9352?
The HCF of 1450,9352 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 1450/655, 9352/6882?
Answer: GCF of Numerators as per given numbers 1450/655, 9352/6882 is
GCF of Numerators i.e. for 1450,9352 is 2
LCM of denominators i.e. for 655,6882 is 4507710.
Thus, GCF of Fractions is 2/4507710.Finally, GCF of Fractions for 1450/655, 9352/6882 is 2/4507710.