GCF of 3574/455, 9464/520
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3574/455, 9464/520 i.e 2/3640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3574/455, 9464/520.
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 3574/455,9464/520?
Given fractions are 3574/455,9464/520
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 3574/455,9464/520, numerators are 3574,9464
Denominators are 455,520
The GCF of 3574,9464 is 2 .
LCM of 455,520 is 3640.
The greatest common factor of 3574/455,9464/520 = [GCF of 3574,9464]/[LCM of 455,520]= 2/3640
Therefore, the GCF of 3574/455,9464/520 is 2/3640.
To find the highest common factor of 3574,9464, we have to find the factors of both numbers and list the highest common factor.
The factors of 3574 are 1, 2, 1787, 3574
The factors of 9464 are 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 169, 182, 338, 364, 676, 728, 1183, 1352, 2366, 4732, 9464
The HCF of 3574,9464 is 2.
Lets's calculate GCF of 3574,9464
| 2 | 3574, 9464 |
| 1787, 4732 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3574,9464 By Matching Biggest Common Factor Method
Now, list down the factors of 3574
:1,2,1787,3574
Now, list down the factors of 9464
:1,2,4,7,8,13,14,26,28,52,56,91,104,169,182,338,364,676,728,1183,1352,2366,4732,9464
Greatest Common Factor
We found the factors 3574,9464 . The biggest common factor number is the GCF number.
So the greatest common factor 3574,9464 is 2.
Lets's calculate LCM of 455,520
| 5 | 455, 520 |
| 13 | 91, 104 |
| 7, 8 |
∴ So the LCM of the given numbers is 5 x 13 x 7 x 8 = 3640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3640
Therefore, the GCF of Fractions 3574/455,9464/520 is 2/3640
Least Common Multiple of 455,520 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 455,520 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(455,520) = 65
common factors(in case of two or more numbers have common factors) = 1
GCF(455,520) x common factors =65 x 1 = 65
LCM(455,520) = ( 455 × 520 ) / 65
LCM(455,520) = 236600 / 65
LCM(455,520) = 3640
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FAQs on GCF of Fractions of 3574/455, 9464/520
1. What is the HCF of 3574,9464?
The HCF of 3574,9464 is 2
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 3574/455, 9464/520?
Answer: GCF of Numerators as per given numbers 3574/455, 9464/520 is
GCF of Numerators i.e. for 3574,9464 is 2
LCM of denominators i.e. for 455,520 is 3640.
Thus, GCF of Fractions is 2/3640.Finally, GCF of Fractions for 3574/455, 9464/520 is 2/3640.