GCF of 1572/859, 8870/990
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1572/859, 8870/990 i.e 2/850410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1572/859, 8870/990.
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 1572/859,8870/990?
Given fractions are 1572/859,8870/990
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 1572/859,8870/990, numerators are 1572,8870
Denominators are 859,990
The GCF of 1572,8870 is 2 .
LCM of 859,990 is 850410.
The greatest common factor of 1572/859,8870/990 = [GCF of 1572,8870]/[LCM of 859,990]= 2/850410
Therefore, the GCF of 1572/859,8870/990 is 2/850410.
To find the highest common factor of 1572,8870, we have to find the factors of both numbers and list the highest common factor.
The factors of 1572 are 1, 2, 3, 4, 6, 12, 131, 262, 393, 524, 786, 1572
The factors of 8870 are 1, 2, 5, 10, 887, 1774, 4435, 8870
The HCF of 1572,8870 is 2.
Lets's calculate GCF of 1572,8870
| 2 | 1572, 8870 |
| 786, 4435 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1572,8870 By Matching Biggest Common Factor Method
Now, list down the factors of 1572
:1,2,3,4,6,12,131,262,393,524,786,1572
Now, list down the factors of 8870
:1,2,5,10,887,1774,4435,8870
Greatest Common Factor
We found the factors 1572,8870 . The biggest common factor number is the GCF number.
So the greatest common factor 1572,8870 is 2.
Lets's calculate LCM of 859,990
Given numbers has no common factors except 1. So, there LCM is their product i.e 850410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/850410
Therefore, the GCF of Fractions 1572/859,8870/990 is 2/850410
Least Common Multiple of 859,990 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 859,990 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(859,990) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(859,990) x common factors =1 x 1 = 1
LCM(859,990) = ( 859 × 990 ) / 1
LCM(859,990) = 850410 / 1
LCM(859,990) = 850410
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FAQs on GCF of Fractions of 1572/859, 8870/990
1. What is the HCF of 1572,8870?
The HCF of 1572,8870 is 2
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 1572/859, 8870/990?
Answer: GCF of Numerators as per given numbers 1572/859, 8870/990 is
GCF of Numerators i.e. for 1572,8870 is 2
LCM of denominators i.e. for 859,990 is 850410.
Thus, GCF of Fractions is 2/850410.Finally, GCF of Fractions for 1572/859, 8870/990 is 2/850410.