GCF of 7224/954, 8136/778
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7224/954, 8136/778 i.e 24/371106 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7224/954, 8136/778.
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 7224/954,8136/778?
Given fractions are 7224/954,8136/778
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 7224/954,8136/778, numerators are 7224,8136
Denominators are 954,778
The GCF of 7224,8136 is 24 .
LCM of 954,778 is 371106.
The greatest common factor of 7224/954,8136/778 = [GCF of 7224,8136]/[LCM of 954,778]= 24/371106
Therefore, the GCF of 7224/954,8136/778 is 24/371106.
To find the highest common factor of 7224,8136, we have to find the factors of both numbers and list the highest common factor.
The factors of 7224 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 43, 56, 84, 86, 129, 168, 172, 258, 301, 344, 516, 602, 903, 1032, 1204, 1806, 2408, 3612, 7224
The factors of 8136 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 113, 226, 339, 452, 678, 904, 1017, 1356, 2034, 2712, 4068, 8136
The HCF of 7224,8136 is 24.
Lets's calculate GCF of 7224,8136
| 2 | 7224, 8136 |
| 2 | 3612, 4068 |
| 2 | 1806, 2034 |
| 3 | 903, 1017 |
| 301, 339 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24
Greatest Common Factor of 7224,8136 By Matching Biggest Common Factor Method
Now, list down the factors of 7224
:1,2,3,4,6,7,8,12,14,21,24,28,42,43,56,84,86,129,168,172,258,301,344,516,602,903,1032,1204,1806,2408,3612,7224
Now, list down the factors of 8136
:1,2,3,4,6,8,9,12,18,24,36,72,113,226,339,452,678,904,1017,1356,2034,2712,4068,8136
Greatest Common Factor
We found the factors 7224,8136 . The biggest common factor number is the GCF number.
So the greatest common factor 7224,8136 is 24.
Lets's calculate LCM of 954,778
| 2 | 954, 778 |
| 477, 389 |
∴ So the LCM of the given numbers is 2 x 477 x 389 = 371106
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/371106
Therefore, the GCF of Fractions 7224/954,8136/778 is 24/371106
Least Common Multiple of 954,778 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 954,778 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(954,778) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(954,778) x common factors =2 x 1 = 2
LCM(954,778) = ( 954 × 778 ) / 2
LCM(954,778) = 742212 / 2
LCM(954,778) = 371106
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FAQs on GCF of Fractions of 7224/954, 8136/778
1. What is the HCF of 7224,8136?
The HCF of 7224,8136 is 24
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 7224/954, 8136/778?
Answer: GCF of Numerators as per given numbers 7224/954, 8136/778 is
GCF of Numerators i.e. for 7224,8136 is 24
LCM of denominators i.e. for 954,778 is 371106.
Thus, GCF of Fractions is 24/371106.Finally, GCF of Fractions for 7224/954, 8136/778 is 24/371106.