GCF of 703/87, 122/90, 210/70
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 703/87, 122/90, 210/70 i.e 1/18270 easily. The following is the detailed procedure to determine the greatest common factor of fractions 703/87, 122/90, 210/70.
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 703/87,122/90,210/70?
Given fractions are 703/87,122/90,210/70
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 703/87,122/90,210/70, numerators are 703,122,210
Denominators are 87,90,70
The GCF of 703,122,210 is 1 .
LCM of 87,90,70 is 18270.
The greatest common factor of 703/87,122/90,210/70 = [GCF of 703,122,210]/[LCM of 87,90,70]= 1/18270
Therefore, the GCF of 703/87,122/90,210/70 is 1/18270.
To find the highest common factor of 703,122,210, we have to find the factors of both numbers and list the highest common factor.
The factors of 703 are 1, 19, 37, 703
The factors of 122 are 1, 2, 61, 122
The factors of 210 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
The HCF of 703,122,210 is 1.
Lets's calculate GCF of 703,122,210
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 703,122,210 By Matching Biggest Common Factor Method
Now, list down the factors of 703
:1,19,37,703
Now, list down the factors of 122
:1,2,61,122
Now, list down the factors of 210
:1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210
Greatest Common Factor
We found the factors 703,122,210 . The biggest common factor number is the GCF number.
So the greatest common factor 703,122,210 is 1.
Lets's calculate LCM of 87,90,70
| 2 | 87, 90, 70 |
| 3 | 87, 45, 35 |
| 5 | 29, 15, 35 |
| 29, 3, 7 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 29 x 3 x 7 = 18270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18270
Therefore, the GCF of Fractions 703/87,122/90,210/70 is 1/18270
Least Common Multiple of 87,90,70 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 87,90,70 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,90,70) = 1
common factors(in case of two or more numbers have common factors) = 30
GCF(87,90,70) x common factors =1 x 30 = 30
LCM(87,90,70) = ( 87 × 90 × 70 ) / 30
LCM(87,90,70) = 548100 / 30
LCM(87,90,70) = 18270
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FAQs on GCF of Fractions of 703/87, 122/90, 210/70
1. What is the HCF of 703,122,210?
The HCF of 703,122,210 is 1
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 703/87, 122/90, 210/70?
Answer: GCF of Numerators as per given numbers 703/87, 122/90, 210/70 is
GCF of Numerators i.e. for 703,122,210 is 1
LCM of denominators i.e. for 87,90,70 is 18270.
Thus, GCF of Fractions is 1/18270.Finally, GCF of Fractions for 703/87, 122/90, 210/70 is 1/18270.