GCF of 9744/359, 7487/466
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9744/359, 7487/466 i.e 1/167294 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9744/359, 7487/466.
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 9744/359,7487/466?
Given fractions are 9744/359,7487/466
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 9744/359,7487/466, numerators are 9744,7487
Denominators are 359,466
The GCF of 9744,7487 is 1 .
LCM of 359,466 is 167294.
The greatest common factor of 9744/359,7487/466 = [GCF of 9744,7487]/[LCM of 359,466]= 1/167294
Therefore, the GCF of 9744/359,7487/466 is 1/167294.
To find the highest common factor of 9744,7487, we have to find the factors of both numbers and list the highest common factor.
The factors of 9744 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 29, 42, 48, 56, 58, 84, 87, 112, 116, 168, 174, 203, 232, 336, 348, 406, 464, 609, 696, 812, 1218, 1392, 1624, 2436, 3248, 4872, 9744
The factors of 7487 are 1, 7487
The HCF of 9744,7487 is 1.
Lets's calculate GCF of 9744,7487
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9744,7487 By Matching Biggest Common Factor Method
Now, list down the factors of 9744
:1,2,3,4,6,7,8,12,14,16,21,24,28,29,42,48,56,58,84,87,112,116,168,174,203,232,336,348,406,464,609,696,812,1218,1392,1624,2436,3248,4872,9744
Now, list down the factors of 7487
:1,7487
Greatest Common Factor
We found the factors 9744,7487 . The biggest common factor number is the GCF number.
So the greatest common factor 9744,7487 is 1.
Lets's calculate LCM of 359,466
Given numbers has no common factors except 1. So, there LCM is their product i.e 167294
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/167294
Therefore, the GCF of Fractions 9744/359,7487/466 is 1/167294
Least Common Multiple of 359,466 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 359,466 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(359,466) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(359,466) x common factors =1 x 1 = 1
LCM(359,466) = ( 359 × 466 ) / 1
LCM(359,466) = 167294 / 1
LCM(359,466) = 167294
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FAQs on GCF of Fractions of 9744/359, 7487/466
1. What is the HCF of 9744,7487?
The HCF of 9744,7487 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 9744/359, 7487/466?
Answer: GCF of Numerators as per given numbers 9744/359, 7487/466 is
GCF of Numerators i.e. for 9744,7487 is 1
LCM of denominators i.e. for 359,466 is 167294.
Thus, GCF of Fractions is 1/167294.Finally, GCF of Fractions for 9744/359, 7487/466 is 1/167294.