GCF of 4274/657, 7130/5500
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4274/657, 7130/5500 i.e 2/3613500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4274/657, 7130/5500.
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 4274/657,7130/5500?
Given fractions are 4274/657,7130/5500
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 4274/657,7130/5500, numerators are 4274,7130
Denominators are 657,5500
The GCF of 4274,7130 is 2 .
LCM of 657,5500 is 3613500.
The greatest common factor of 4274/657,7130/5500 = [GCF of 4274,7130]/[LCM of 657,5500]= 2/3613500
Therefore, the GCF of 4274/657,7130/5500 is 2/3613500.
To find the highest common factor of 4274,7130, we have to find the factors of both numbers and list the highest common factor.
The factors of 4274 are 1, 2, 2137, 4274
The factors of 7130 are 1, 2, 5, 10, 23, 31, 46, 62, 115, 155, 230, 310, 713, 1426, 3565, 7130
The HCF of 4274,7130 is 2.
Lets's calculate GCF of 4274,7130
| 2 | 4274, 7130 |
| 2137, 3565 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4274,7130 By Matching Biggest Common Factor Method
Now, list down the factors of 4274
:1,2,2137,4274
Now, list down the factors of 7130
:1,2,5,10,23,31,46,62,115,155,230,310,713,1426,3565,7130
Greatest Common Factor
We found the factors 4274,7130 . The biggest common factor number is the GCF number.
So the greatest common factor 4274,7130 is 2.
Lets's calculate LCM of 657,5500
Given numbers has no common factors except 1. So, there LCM is their product i.e 3613500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3613500
Therefore, the GCF of Fractions 4274/657,7130/5500 is 2/3613500
Least Common Multiple of 657,5500 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 657,5500 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(657,5500) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(657,5500) x common factors =1 x 1 = 1
LCM(657,5500) = ( 657 × 5500 ) / 1
LCM(657,5500) = 3613500 / 1
LCM(657,5500) = 3613500
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4274/657, 7130/5500
1. What is the HCF of 4274,7130?
The HCF of 4274,7130 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 4274/657, 7130/5500?
Answer: GCF of Numerators as per given numbers 4274/657, 7130/5500 is
GCF of Numerators i.e. for 4274,7130 is 2
LCM of denominators i.e. for 657,5500 is 3613500.
Thus, GCF of Fractions is 2/3613500.Finally, GCF of Fractions for 4274/657, 7130/5500 is 2/3613500.