GCF of 7082/224, 3497/572
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7082/224, 3497/572 i.e 1/32032 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7082/224, 3497/572.
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 7082/224,3497/572?
Given fractions are 7082/224,3497/572
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 7082/224,3497/572, numerators are 7082,3497
Denominators are 224,572
The GCF of 7082,3497 is 1 .
LCM of 224,572 is 32032.
The greatest common factor of 7082/224,3497/572 = [GCF of 7082,3497]/[LCM of 224,572]= 1/32032
Therefore, the GCF of 7082/224,3497/572 is 1/32032.
To find the highest common factor of 7082,3497, we have to find the factors of both numbers and list the highest common factor.
The factors of 7082 are 1, 2, 3541, 7082
The factors of 3497 are 1, 13, 269, 3497
The HCF of 7082,3497 is 1.
Lets's calculate GCF of 7082,3497
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7082,3497 By Matching Biggest Common Factor Method
Now, list down the factors of 7082
:1,2,3541,7082
Now, list down the factors of 3497
:1,13,269,3497
Greatest Common Factor
We found the factors 7082,3497 . The biggest common factor number is the GCF number.
So the greatest common factor 7082,3497 is 1.
Lets's calculate LCM of 224,572
| 2 | 224, 572 |
| 2 | 112, 286 |
| 56, 143 |
∴ So the LCM of the given numbers is 2 x 2 x 56 x 143 = 32032
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32032
Therefore, the GCF of Fractions 7082/224,3497/572 is 1/32032
Least Common Multiple of 224,572 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 224,572 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(224,572) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(224,572) x common factors =4 x 1 = 4
LCM(224,572) = ( 224 × 572 ) / 4
LCM(224,572) = 128128 / 4
LCM(224,572) = 32032
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7082/224, 3497/572
1. What is the HCF of 7082,3497?
The HCF of 7082,3497 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 7082/224, 3497/572?
Answer: GCF of Numerators as per given numbers 7082/224, 3497/572 is
GCF of Numerators i.e. for 7082,3497 is 1
LCM of denominators i.e. for 224,572 is 32032.
Thus, GCF of Fractions is 1/32032.Finally, GCF of Fractions for 7082/224, 3497/572 is 1/32032.