GCF of 7867/196, 9744/8630
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7867/196, 9744/8630 i.e 1/845740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7867/196, 9744/8630.
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 7867/196,9744/8630?
Given fractions are 7867/196,9744/8630
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 7867/196,9744/8630, numerators are 7867,9744
Denominators are 196,8630
The GCF of 7867,9744 is 1 .
LCM of 196,8630 is 845740.
The greatest common factor of 7867/196,9744/8630 = [GCF of 7867,9744]/[LCM of 196,8630]= 1/845740
Therefore, the GCF of 7867/196,9744/8630 is 1/845740.
To find the highest common factor of 7867,9744, we have to find the factors of both numbers and list the highest common factor.
The factors of 7867 are 1, 7867
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 HCF of 7867,9744 is 1.
Lets's calculate GCF of 7867,9744
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7867,9744 By Matching Biggest Common Factor Method
Now, list down the factors of 7867
:1,7867
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
Greatest Common Factor
We found the factors 7867,9744 . The biggest common factor number is the GCF number.
So the greatest common factor 7867,9744 is 1.
Lets's calculate LCM of 196,8630
| 2 | 196, 8630 |
| 98, 4315 |
∴ So the LCM of the given numbers is 2 x 98 x 4315 = 845740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/845740
Therefore, the GCF of Fractions 7867/196,9744/8630 is 1/845740
Least Common Multiple of 196,8630 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 196,8630 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(196,8630) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(196,8630) x common factors =2 x 1 = 2
LCM(196,8630) = ( 196 × 8630 ) / 2
LCM(196,8630) = 1691480 / 2
LCM(196,8630) = 845740
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FAQs on GCF of Fractions of 7867/196, 9744/8630
1. What is the HCF of 7867,9744?
The HCF of 7867,9744 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 7867/196, 9744/8630?
Answer: GCF of Numerators as per given numbers 7867/196, 9744/8630 is
GCF of Numerators i.e. for 7867,9744 is 1
LCM of denominators i.e. for 196,8630 is 845740.
Thus, GCF of Fractions is 1/845740.Finally, GCF of Fractions for 7867/196, 9744/8630 is 1/845740.