GCF of 1110/872, 7570/1387
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1110/872, 7570/1387 i.e 10/1209464 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1110/872, 7570/1387.
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 1110/872,7570/1387?
Given fractions are 1110/872,7570/1387
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 1110/872,7570/1387, numerators are 1110,7570
Denominators are 872,1387
The GCF of 1110,7570 is 10 .
LCM of 872,1387 is 1209464.
The greatest common factor of 1110/872,7570/1387 = [GCF of 1110,7570]/[LCM of 872,1387]= 10/1209464
Therefore, the GCF of 1110/872,7570/1387 is 10/1209464.
To find the highest common factor of 1110,7570, we have to find the factors of both numbers and list the highest common factor.
The factors of 1110 are 1, 2, 3, 5, 6, 10, 15, 30, 37, 74, 111, 185, 222, 370, 555, 1110
The factors of 7570 are 1, 2, 5, 10, 757, 1514, 3785, 7570
The HCF of 1110,7570 is 10.
Lets's calculate GCF of 1110,7570
| 2 | 1110, 7570 |
| 5 | 555, 3785 |
| 111, 757 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 1110,7570 By Matching Biggest Common Factor Method
Now, list down the factors of 1110
:1,2,3,5,6,10,15,30,37,74,111,185,222,370,555,1110
Now, list down the factors of 7570
:1,2,5,10,757,1514,3785,7570
Greatest Common Factor
We found the factors 1110,7570 . The biggest common factor number is the GCF number.
So the greatest common factor 1110,7570 is 10.
Lets's calculate LCM of 872,1387
Given numbers has no common factors except 1. So, there LCM is their product i.e 1209464
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/1209464
Therefore, the GCF of Fractions 1110/872,7570/1387 is 10/1209464
Least Common Multiple of 872,1387 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 872,1387 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(872,1387) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(872,1387) x common factors =1 x 1 = 1
LCM(872,1387) = ( 872 × 1387 ) / 1
LCM(872,1387) = 1209464 / 1
LCM(872,1387) = 1209464
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FAQs on GCF of Fractions of 1110/872, 7570/1387
1. What is the HCF of 1110,7570?
The HCF of 1110,7570 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 1110/872, 7570/1387?
Answer: GCF of Numerators as per given numbers 1110/872, 7570/1387 is
GCF of Numerators i.e. for 1110,7570 is 10
LCM of denominators i.e. for 872,1387 is 1209464.
Thus, GCF of Fractions is 10/1209464.Finally, GCF of Fractions for 1110/872, 7570/1387 is 10/1209464.