GCF of 1770/625, 4340/872
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1770/625, 4340/872 i.e 10/545000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1770/625, 4340/872.
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 1770/625,4340/872?
Given fractions are 1770/625,4340/872
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 1770/625,4340/872, numerators are 1770,4340
Denominators are 625,872
The GCF of 1770,4340 is 10 .
LCM of 625,872 is 545000.
The greatest common factor of 1770/625,4340/872 = [GCF of 1770,4340]/[LCM of 625,872]= 10/545000
Therefore, the GCF of 1770/625,4340/872 is 10/545000.
To find the highest common factor of 1770,4340, we have to find the factors of both numbers and list the highest common factor.
The factors of 1770 are 1, 2, 3, 5, 6, 10, 15, 30, 59, 118, 177, 295, 354, 590, 885, 1770
The factors of 4340 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 31, 35, 62, 70, 124, 140, 155, 217, 310, 434, 620, 868, 1085, 2170, 4340
The HCF of 1770,4340 is 10.
Lets's calculate GCF of 1770,4340
| 2 | 1770, 4340 |
| 5 | 885, 2170 |
| 177, 434 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 1770,4340 By Matching Biggest Common Factor Method
Now, list down the factors of 1770
:1,2,3,5,6,10,15,30,59,118,177,295,354,590,885,1770
Now, list down the factors of 4340
:1,2,4,5,7,10,14,20,28,31,35,62,70,124,140,155,217,310,434,620,868,1085,2170,4340
Greatest Common Factor
We found the factors 1770,4340 . The biggest common factor number is the GCF number.
So the greatest common factor 1770,4340 is 10.
Lets's calculate LCM of 625,872
Given numbers has no common factors except 1. So, there LCM is their product i.e 545000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/545000
Therefore, the GCF of Fractions 1770/625,4340/872 is 10/545000
Least Common Multiple of 625,872 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 625,872 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(625,872) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(625,872) x common factors =1 x 1 = 1
LCM(625,872) = ( 625 × 872 ) / 1
LCM(625,872) = 545000 / 1
LCM(625,872) = 545000
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FAQs on GCF of Fractions of 1770/625, 4340/872
1. What is the HCF of 1770,4340?
The HCF of 1770,4340 is 10
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 1770/625, 4340/872?
Answer: GCF of Numerators as per given numbers 1770/625, 4340/872 is
GCF of Numerators i.e. for 1770,4340 is 10
LCM of denominators i.e. for 625,872 is 545000.
Thus, GCF of Fractions is 10/545000.Finally, GCF of Fractions for 1770/625, 4340/872 is 10/545000.