GCF of 3570/447, 4624/1594
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3570/447, 4624/1594 i.e 34/712518 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3570/447, 4624/1594.
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 3570/447,4624/1594?
Given fractions are 3570/447,4624/1594
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 3570/447,4624/1594, numerators are 3570,4624
Denominators are 447,1594
The GCF of 3570,4624 is 34 .
LCM of 447,1594 is 712518.
The greatest common factor of 3570/447,4624/1594 = [GCF of 3570,4624]/[LCM of 447,1594]= 34/712518
Therefore, the GCF of 3570/447,4624/1594 is 34/712518.
To find the highest common factor of 3570,4624, we have to find the factors of both numbers and list the highest common factor.
The factors of 3570 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 17, 21, 30, 34, 35, 42, 51, 70, 85, 102, 105, 119, 170, 210, 238, 255, 357, 510, 595, 714, 1190, 1785, 3570
The factors of 4624 are 1, 2, 4, 8, 16, 17, 34, 68, 136, 272, 289, 578, 1156, 2312, 4624
The HCF of 3570,4624 is 34.
Lets's calculate GCF of 3570,4624
| 2 | 3570, 4624 |
| 17 | 1785, 2312 |
| 105, 136 |
∴ So the GCF of the given numbers is 2 x 17 = 34
Greatest Common Factor of 3570,4624 By Matching Biggest Common Factor Method
Now, list down the factors of 3570
:1,2,3,5,6,7,10,14,15,17,21,30,34,35,42,51,70,85,102,105,119,170,210,238,255,357,510,595,714,1190,1785,3570
Now, list down the factors of 4624
:1,2,4,8,16,17,34,68,136,272,289,578,1156,2312,4624
Greatest Common Factor
We found the factors 3570,4624 . The biggest common factor number is the GCF number.
So the greatest common factor 3570,4624 is 34.
Lets's calculate LCM of 447,1594
Given numbers has no common factors except 1. So, there LCM is their product i.e 712518
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 34/712518
Therefore, the GCF of Fractions 3570/447,4624/1594 is 34/712518
Least Common Multiple of 447,1594 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 447,1594 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(447,1594) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(447,1594) x common factors =1 x 1 = 1
LCM(447,1594) = ( 447 × 1594 ) / 1
LCM(447,1594) = 712518 / 1
LCM(447,1594) = 712518
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FAQs on GCF of Fractions of 3570/447, 4624/1594
1. What is the HCF of 3570,4624?
The HCF of 3570,4624 is 34
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 3570/447, 4624/1594?
Answer: GCF of Numerators as per given numbers 3570/447, 4624/1594 is
GCF of Numerators i.e. for 3570,4624 is 34
LCM of denominators i.e. for 447,1594 is 712518.
Thus, GCF of Fractions is 34/712518.Finally, GCF of Fractions for 3570/447, 4624/1594 is 34/712518.