GCF of 6354/137, 9376/5411
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6354/137, 9376/5411 i.e 2/741307 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6354/137, 9376/5411.
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 6354/137,9376/5411?
Given fractions are 6354/137,9376/5411
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 6354/137,9376/5411, numerators are 6354,9376
Denominators are 137,5411
The GCF of 6354,9376 is 2 .
LCM of 137,5411 is 741307.
The greatest common factor of 6354/137,9376/5411 = [GCF of 6354,9376]/[LCM of 137,5411]= 2/741307
Therefore, the GCF of 6354/137,9376/5411 is 2/741307.
To find the highest common factor of 6354,9376, we have to find the factors of both numbers and list the highest common factor.
The factors of 6354 are 1, 2, 3, 6, 9, 18, 353, 706, 1059, 2118, 3177, 6354
The factors of 9376 are 1, 2, 4, 8, 16, 32, 293, 586, 1172, 2344, 4688, 9376
The HCF of 6354,9376 is 2.
Lets's calculate GCF of 6354,9376
| 2 | 6354, 9376 |
| 3177, 4688 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6354,9376 By Matching Biggest Common Factor Method
Now, list down the factors of 6354
:1,2,3,6,9,18,353,706,1059,2118,3177,6354
Now, list down the factors of 9376
:1,2,4,8,16,32,293,586,1172,2344,4688,9376
Greatest Common Factor
We found the factors 6354,9376 . The biggest common factor number is the GCF number.
So the greatest common factor 6354,9376 is 2.
Lets's calculate LCM of 137,5411
Given numbers has no common factors except 1. So, there LCM is their product i.e 741307
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/741307
Therefore, the GCF of Fractions 6354/137,9376/5411 is 2/741307
Least Common Multiple of 137,5411 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 137,5411 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(137,5411) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(137,5411) x common factors =1 x 1 = 1
LCM(137,5411) = ( 137 × 5411 ) / 1
LCM(137,5411) = 741307 / 1
LCM(137,5411) = 741307
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FAQs on GCF of Fractions of 6354/137, 9376/5411
1. What is the HCF of 6354,9376?
The HCF of 6354,9376 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 6354/137, 9376/5411?
Answer: GCF of Numerators as per given numbers 6354/137, 9376/5411 is
GCF of Numerators i.e. for 6354,9376 is 2
LCM of denominators i.e. for 137,5411 is 741307.
Thus, GCF of Fractions is 2/741307.Finally, GCF of Fractions for 6354/137, 9376/5411 is 2/741307.