GCF of 8414/924, 5469/6782
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8414/924, 5469/6782 i.e 1/3133284 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8414/924, 5469/6782.
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 8414/924,5469/6782?
Given fractions are 8414/924,5469/6782
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 8414/924,5469/6782, numerators are 8414,5469
Denominators are 924,6782
The GCF of 8414,5469 is 1 .
LCM of 924,6782 is 3133284.
The greatest common factor of 8414/924,5469/6782 = [GCF of 8414,5469]/[LCM of 924,6782]= 1/3133284
Therefore, the GCF of 8414/924,5469/6782 is 1/3133284.
To find the highest common factor of 8414,5469, we have to find the factors of both numbers and list the highest common factor.
The factors of 8414 are 1, 2, 7, 14, 601, 1202, 4207, 8414
The factors of 5469 are 1, 3, 1823, 5469
The HCF of 8414,5469 is 1.
Lets's calculate GCF of 8414,5469
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8414,5469 By Matching Biggest Common Factor Method
Now, list down the factors of 8414
:1,2,7,14,601,1202,4207,8414
Now, list down the factors of 5469
:1,3,1823,5469
Greatest Common Factor
We found the factors 8414,5469 . The biggest common factor number is the GCF number.
So the greatest common factor 8414,5469 is 1.
Lets's calculate LCM of 924,6782
| 2 | 924, 6782 |
| 462, 3391 |
∴ So the LCM of the given numbers is 2 x 462 x 3391 = 3133284
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3133284
Therefore, the GCF of Fractions 8414/924,5469/6782 is 1/3133284
Least Common Multiple of 924,6782 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 924,6782 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(924,6782) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(924,6782) x common factors =2 x 1 = 2
LCM(924,6782) = ( 924 × 6782 ) / 2
LCM(924,6782) = 6266568 / 2
LCM(924,6782) = 3133284
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FAQs on GCF of Fractions of 8414/924, 5469/6782
1. What is the HCF of 8414,5469?
The HCF of 8414,5469 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 8414/924, 5469/6782?
Answer: GCF of Numerators as per given numbers 8414/924, 5469/6782 is
GCF of Numerators i.e. for 8414,5469 is 1
LCM of denominators i.e. for 924,6782 is 3133284.
Thus, GCF of Fractions is 1/3133284.Finally, GCF of Fractions for 8414/924, 5469/6782 is 1/3133284.