GCF of 2562/362, 3570/7609
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2562/362, 3570/7609 i.e 42/2754458 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2562/362, 3570/7609.
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 2562/362,3570/7609?
Given fractions are 2562/362,3570/7609
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 2562/362,3570/7609, numerators are 2562,3570
Denominators are 362,7609
The GCF of 2562,3570 is 42 .
LCM of 362,7609 is 2754458.
The greatest common factor of 2562/362,3570/7609 = [GCF of 2562,3570]/[LCM of 362,7609]= 42/2754458
Therefore, the GCF of 2562/362,3570/7609 is 42/2754458.
To find the highest common factor of 2562,3570, we have to find the factors of both numbers and list the highest common factor.
The factors of 2562 are 1, 2, 3, 6, 7, 14, 21, 42, 61, 122, 183, 366, 427, 854, 1281, 2562
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 HCF of 2562,3570 is 42.
Lets's calculate GCF of 2562,3570
| 2 | 2562, 3570 |
| 3 | 1281, 1785 |
| 7 | 427, 595 |
| 61, 85 |
∴ So the GCF of the given numbers is 2 x 3 x 7 = 42
Greatest Common Factor of 2562,3570 By Matching Biggest Common Factor Method
Now, list down the factors of 2562
:1,2,3,6,7,14,21,42,61,122,183,366,427,854,1281,2562
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
Greatest Common Factor
We found the factors 2562,3570 . The biggest common factor number is the GCF number.
So the greatest common factor 2562,3570 is 42.
Lets's calculate LCM of 362,7609
Given numbers has no common factors except 1. So, there LCM is their product i.e 2754458
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 42/2754458
Therefore, the GCF of Fractions 2562/362,3570/7609 is 42/2754458
Least Common Multiple of 362,7609 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 362,7609 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(362,7609) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(362,7609) x common factors =1 x 1 = 1
LCM(362,7609) = ( 362 × 7609 ) / 1
LCM(362,7609) = 2754458 / 1
LCM(362,7609) = 2754458
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FAQs on GCF of Fractions of 2562/362, 3570/7609
1. What is the HCF of 2562,3570?
The HCF of 2562,3570 is 42
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 2562/362, 3570/7609?
Answer: GCF of Numerators as per given numbers 2562/362, 3570/7609 is
GCF of Numerators i.e. for 2562,3570 is 42
LCM of denominators i.e. for 362,7609 is 2754458.
Thus, GCF of Fractions is 42/2754458.Finally, GCF of Fractions for 2562/362, 3570/7609 is 42/2754458.