GCF of 7011/432, 4362/7407
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7011/432, 4362/7407 i.e 3/355536 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7011/432, 4362/7407.
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 7011/432,4362/7407?
Given fractions are 7011/432,4362/7407
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 7011/432,4362/7407, numerators are 7011,4362
Denominators are 432,7407
The GCF of 7011,4362 is 3 .
LCM of 432,7407 is 355536.
The greatest common factor of 7011/432,4362/7407 = [GCF of 7011,4362]/[LCM of 432,7407]= 3/355536
Therefore, the GCF of 7011/432,4362/7407 is 3/355536.
To find the highest common factor of 7011,4362, we have to find the factors of both numbers and list the highest common factor.
The factors of 7011 are 1, 3, 9, 19, 41, 57, 123, 171, 369, 779, 2337, 7011
The factors of 4362 are 1, 2, 3, 6, 727, 1454, 2181, 4362
The HCF of 7011,4362 is 3.
Lets's calculate GCF of 7011,4362
| 3 | 7011, 4362 |
| 2337, 1454 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7011,4362 By Matching Biggest Common Factor Method
Now, list down the factors of 7011
:1,3,9,19,41,57,123,171,369,779,2337,7011
Now, list down the factors of 4362
:1,2,3,6,727,1454,2181,4362
Greatest Common Factor
We found the factors 7011,4362 . The biggest common factor number is the GCF number.
So the greatest common factor 7011,4362 is 3.
Lets's calculate LCM of 432,7407
| 3 | 432, 7407 |
| 3 | 144, 2469 |
| 48, 823 |
∴ So the LCM of the given numbers is 3 x 3 x 48 x 823 = 355536
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/355536
Therefore, the GCF of Fractions 7011/432,4362/7407 is 3/355536
Least Common Multiple of 432,7407 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 432,7407 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(432,7407) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(432,7407) x common factors =9 x 1 = 9
LCM(432,7407) = ( 432 × 7407 ) / 9
LCM(432,7407) = 3199824 / 9
LCM(432,7407) = 355536
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FAQs on GCF of Fractions of 7011/432, 4362/7407
1. What is the HCF of 7011,4362?
The HCF of 7011,4362 is 3
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 7011/432, 4362/7407?
Answer: GCF of Numerators as per given numbers 7011/432, 4362/7407 is
GCF of Numerators i.e. for 7011,4362 is 3
LCM of denominators i.e. for 432,7407 is 355536.
Thus, GCF of Fractions is 3/355536.Finally, GCF of Fractions for 7011/432, 4362/7407 is 3/355536.