GCF of 5436/669, 7274/254
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5436/669, 7274/254 i.e 2/169926 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5436/669, 7274/254.
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 5436/669,7274/254?
Given fractions are 5436/669,7274/254
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 5436/669,7274/254, numerators are 5436,7274
Denominators are 669,254
The GCF of 5436,7274 is 2 .
LCM of 669,254 is 169926.
The greatest common factor of 5436/669,7274/254 = [GCF of 5436,7274]/[LCM of 669,254]= 2/169926
Therefore, the GCF of 5436/669,7274/254 is 2/169926.
To find the highest common factor of 5436,7274, we have to find the factors of both numbers and list the highest common factor.
The factors of 5436 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 151, 302, 453, 604, 906, 1359, 1812, 2718, 5436
The factors of 7274 are 1, 2, 3637, 7274
The HCF of 5436,7274 is 2.
Lets's calculate GCF of 5436,7274
| 2 | 5436, 7274 |
| 2718, 3637 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5436,7274 By Matching Biggest Common Factor Method
Now, list down the factors of 5436
:1,2,3,4,6,9,12,18,36,151,302,453,604,906,1359,1812,2718,5436
Now, list down the factors of 7274
:1,2,3637,7274
Greatest Common Factor
We found the factors 5436,7274 . The biggest common factor number is the GCF number.
So the greatest common factor 5436,7274 is 2.
Lets's calculate LCM of 669,254
Given numbers has no common factors except 1. So, there LCM is their product i.e 169926
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/169926
Therefore, the GCF of Fractions 5436/669,7274/254 is 2/169926
Least Common Multiple of 669,254 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 669,254 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(669,254) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(669,254) x common factors =1 x 1 = 1
LCM(669,254) = ( 669 × 254 ) / 1
LCM(669,254) = 169926 / 1
LCM(669,254) = 169926
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FAQs on GCF of Fractions of 5436/669, 7274/254
1. What is the HCF of 5436,7274?
The HCF of 5436,7274 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 5436/669, 7274/254?
Answer: GCF of Numerators as per given numbers 5436/669, 7274/254 is
GCF of Numerators i.e. for 5436,7274 is 2
LCM of denominators i.e. for 669,254 is 169926.
Thus, GCF of Fractions is 2/169926.Finally, GCF of Fractions for 5436/669, 7274/254 is 2/169926.