GCF of 7414/531, 7007/592
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7414/531, 7007/592 i.e 11/314352 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7414/531, 7007/592.
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 7414/531,7007/592?
Given fractions are 7414/531,7007/592
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 7414/531,7007/592, numerators are 7414,7007
Denominators are 531,592
The GCF of 7414,7007 is 11 .
LCM of 531,592 is 314352.
The greatest common factor of 7414/531,7007/592 = [GCF of 7414,7007]/[LCM of 531,592]= 11/314352
Therefore, the GCF of 7414/531,7007/592 is 11/314352.
To find the highest common factor of 7414,7007, we have to find the factors of both numbers and list the highest common factor.
The factors of 7414 are 1, 2, 11, 22, 337, 674, 3707, 7414
The factors of 7007 are 1, 7, 11, 13, 49, 77, 91, 143, 539, 637, 1001, 7007
The HCF of 7414,7007 is 11.
Lets's calculate GCF of 7414,7007
| 11 | 7414, 7007 |
| 674, 637 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 7414,7007 By Matching Biggest Common Factor Method
Now, list down the factors of 7414
:1,2,11,22,337,674,3707,7414
Now, list down the factors of 7007
:1,7,11,13,49,77,91,143,539,637,1001,7007
Greatest Common Factor
We found the factors 7414,7007 . The biggest common factor number is the GCF number.
So the greatest common factor 7414,7007 is 11.
Lets's calculate LCM of 531,592
Given numbers has no common factors except 1. So, there LCM is their product i.e 314352
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/314352
Therefore, the GCF of Fractions 7414/531,7007/592 is 11/314352
Least Common Multiple of 531,592 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 531,592 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(531,592) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(531,592) x common factors =1 x 1 = 1
LCM(531,592) = ( 531 × 592 ) / 1
LCM(531,592) = 314352 / 1
LCM(531,592) = 314352
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FAQs on GCF of Fractions of 7414/531, 7007/592
1. What is the HCF of 7414,7007?
The HCF of 7414,7007 is 11
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 7414/531, 7007/592?
Answer: GCF of Numerators as per given numbers 7414/531, 7007/592 is
GCF of Numerators i.e. for 7414,7007 is 11
LCM of denominators i.e. for 531,592 is 314352.
Thus, GCF of Fractions is 11/314352.Finally, GCF of Fractions for 7414/531, 7007/592 is 11/314352.