GCF of 957/858, 7524/998
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 957/858, 7524/998 i.e 33/428142 easily. The following is the detailed procedure to determine the greatest common factor of fractions 957/858, 7524/998.
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 957/858,7524/998?
Given fractions are 957/858,7524/998
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 957/858,7524/998, numerators are 957,7524
Denominators are 858,998
The GCF of 957,7524 is 33 .
LCM of 858,998 is 428142.
The greatest common factor of 957/858,7524/998 = [GCF of 957,7524]/[LCM of 858,998]= 33/428142
Therefore, the GCF of 957/858,7524/998 is 33/428142.
To find the highest common factor of 957,7524, we have to find the factors of both numbers and list the highest common factor.
The factors of 957 are 1, 3, 11, 29, 33, 87, 319, 957
The factors of 7524 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 19, 22, 33, 36, 38, 44, 57, 66, 76, 99, 114, 132, 171, 198, 209, 228, 342, 396, 418, 627, 684, 836, 1254, 1881, 2508, 3762, 7524
The HCF of 957,7524 is 33.
Lets's calculate GCF of 957,7524
| 3 | 957, 7524 |
| 11 | 319, 2508 |
| 29, 228 |
∴ So the GCF of the given numbers is 3 x 11 = 33
Greatest Common Factor of 957,7524 By Matching Biggest Common Factor Method
Now, list down the factors of 957
:1,3,11,29,33,87,319,957
Now, list down the factors of 7524
:1,2,3,4,6,9,11,12,18,19,22,33,36,38,44,57,66,76,99,114,132,171,198,209,228,342,396,418,627,684,836,1254,1881,2508,3762,7524
Greatest Common Factor
We found the factors 957,7524 . The biggest common factor number is the GCF number.
So the greatest common factor 957,7524 is 33.
Lets's calculate LCM of 858,998
| 2 | 858, 998 |
| 429, 499 |
∴ So the LCM of the given numbers is 2 x 429 x 499 = 428142
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 33/428142
Therefore, the GCF of Fractions 957/858,7524/998 is 33/428142
Least Common Multiple of 858,998 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 858,998 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(858,998) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(858,998) x common factors =2 x 1 = 2
LCM(858,998) = ( 858 × 998 ) / 2
LCM(858,998) = 856284 / 2
LCM(858,998) = 428142
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FAQs on GCF of Fractions of 957/858, 7524/998
1. What is the HCF of 957,7524?
The HCF of 957,7524 is 33
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 957/858, 7524/998?
Answer: GCF of Numerators as per given numbers 957/858, 7524/998 is
GCF of Numerators i.e. for 957,7524 is 33
LCM of denominators i.e. for 858,998 is 428142.
Thus, GCF of Fractions is 33/428142.Finally, GCF of Fractions for 957/858, 7524/998 is 33/428142.