GCF of 1557/850, 9204/1414
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1557/850, 9204/1414 i.e 3/600950 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1557/850, 9204/1414.
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 1557/850,9204/1414?
Given fractions are 1557/850,9204/1414
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 1557/850,9204/1414, numerators are 1557,9204
Denominators are 850,1414
The GCF of 1557,9204 is 3 .
LCM of 850,1414 is 600950.
The greatest common factor of 1557/850,9204/1414 = [GCF of 1557,9204]/[LCM of 850,1414]= 3/600950
Therefore, the GCF of 1557/850,9204/1414 is 3/600950.
To find the highest common factor of 1557,9204, we have to find the factors of both numbers and list the highest common factor.
The factors of 1557 are 1, 3, 9, 173, 519, 1557
The factors of 9204 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 59, 78, 118, 156, 177, 236, 354, 708, 767, 1534, 2301, 3068, 4602, 9204
The HCF of 1557,9204 is 3.
Lets's calculate GCF of 1557,9204
| 3 | 1557, 9204 |
| 519, 3068 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1557,9204 By Matching Biggest Common Factor Method
Now, list down the factors of 1557
:1,3,9,173,519,1557
Now, list down the factors of 9204
:1,2,3,4,6,12,13,26,39,52,59,78,118,156,177,236,354,708,767,1534,2301,3068,4602,9204
Greatest Common Factor
We found the factors 1557,9204 . The biggest common factor number is the GCF number.
So the greatest common factor 1557,9204 is 3.
Lets's calculate LCM of 850,1414
| 2 | 850, 1414 |
| 425, 707 |
∴ So the LCM of the given numbers is 2 x 425 x 707 = 600950
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/600950
Therefore, the GCF of Fractions 1557/850,9204/1414 is 3/600950
Least Common Multiple of 850,1414 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 850,1414 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(850,1414) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(850,1414) x common factors =2 x 1 = 2
LCM(850,1414) = ( 850 × 1414 ) / 2
LCM(850,1414) = 1201900 / 2
LCM(850,1414) = 600950
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FAQs on GCF of Fractions of 1557/850, 9204/1414
1. What is the HCF of 1557,9204?
The HCF of 1557,9204 is 3
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 1557/850, 9204/1414?
Answer: GCF of Numerators as per given numbers 1557/850, 9204/1414 is
GCF of Numerators i.e. for 1557,9204 is 3
LCM of denominators i.e. for 850,1414 is 600950.
Thus, GCF of Fractions is 3/600950.Finally, GCF of Fractions for 1557/850, 9204/1414 is 3/600950.