GCF of 8653/748, 7429/924
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8653/748, 7429/924 i.e 17/15708 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8653/748, 7429/924.
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 8653/748,7429/924?
Given fractions are 8653/748,7429/924
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 8653/748,7429/924, numerators are 8653,7429
Denominators are 748,924
The GCF of 8653,7429 is 17 .
LCM of 748,924 is 15708.
The greatest common factor of 8653/748,7429/924 = [GCF of 8653,7429]/[LCM of 748,924]= 17/15708
Therefore, the GCF of 8653/748,7429/924 is 17/15708.
To find the highest common factor of 8653,7429, we have to find the factors of both numbers and list the highest common factor.
The factors of 8653 are 1, 17, 509, 8653
The factors of 7429 are 1, 17, 19, 23, 323, 391, 437, 7429
The HCF of 8653,7429 is 17.
Lets's calculate GCF of 8653,7429
| 17 | 8653, 7429 |
| 509, 437 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 8653,7429 By Matching Biggest Common Factor Method
Now, list down the factors of 8653
:1,17,509,8653
Now, list down the factors of 7429
:1,17,19,23,323,391,437,7429
Greatest Common Factor
We found the factors 8653,7429 . The biggest common factor number is the GCF number.
So the greatest common factor 8653,7429 is 17.
Lets's calculate LCM of 748,924
| 2 | 748, 924 |
| 2 | 374, 462 |
| 11 | 187, 231 |
| 17, 21 |
∴ So the LCM of the given numbers is 2 x 2 x 11 x 17 x 21 = 15708
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/15708
Therefore, the GCF of Fractions 8653/748,7429/924 is 17/15708
Least Common Multiple of 748,924 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 748,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(748,924) = 44
common factors(in case of two or more numbers have common factors) = 1
GCF(748,924) x common factors =44 x 1 = 44
LCM(748,924) = ( 748 × 924 ) / 44
LCM(748,924) = 691152 / 44
LCM(748,924) = 15708
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FAQs on GCF of Fractions of 8653/748, 7429/924
1. What is the HCF of 8653,7429?
The HCF of 8653,7429 is 17
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 8653/748, 7429/924?
Answer: GCF of Numerators as per given numbers 8653/748, 7429/924 is
GCF of Numerators i.e. for 8653,7429 is 17
LCM of denominators i.e. for 748,924 is 15708.
Thus, GCF of Fractions is 17/15708.Finally, GCF of Fractions for 8653/748, 7429/924 is 17/15708.