GCF of 9870/554, 6425/1591
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9870/554, 6425/1591 i.e 5/881414 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9870/554, 6425/1591.
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 9870/554,6425/1591?
Given fractions are 9870/554,6425/1591
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 9870/554,6425/1591, numerators are 9870,6425
Denominators are 554,1591
The GCF of 9870,6425 is 5 .
LCM of 554,1591 is 881414.
The greatest common factor of 9870/554,6425/1591 = [GCF of 9870,6425]/[LCM of 554,1591]= 5/881414
Therefore, the GCF of 9870/554,6425/1591 is 5/881414.
To find the highest common factor of 9870,6425, we have to find the factors of both numbers and list the highest common factor.
The factors of 9870 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 47, 70, 94, 105, 141, 210, 235, 282, 329, 470, 658, 705, 987, 1410, 1645, 1974, 3290, 4935, 9870
The factors of 6425 are 1, 5, 25, 257, 1285, 6425
The HCF of 9870,6425 is 5.
Lets's calculate GCF of 9870,6425
| 5 | 9870, 6425 |
| 1974, 1285 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 9870,6425 By Matching Biggest Common Factor Method
Now, list down the factors of 9870
:1,2,3,5,6,7,10,14,15,21,30,35,42,47,70,94,105,141,210,235,282,329,470,658,705,987,1410,1645,1974,3290,4935,9870
Now, list down the factors of 6425
:1,5,25,257,1285,6425
Greatest Common Factor
We found the factors 9870,6425 . The biggest common factor number is the GCF number.
So the greatest common factor 9870,6425 is 5.
Lets's calculate LCM of 554,1591
Given numbers has no common factors except 1. So, there LCM is their product i.e 881414
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/881414
Therefore, the GCF of Fractions 9870/554,6425/1591 is 5/881414
Least Common Multiple of 554,1591 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 554,1591 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(554,1591) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(554,1591) x common factors =1 x 1 = 1
LCM(554,1591) = ( 554 × 1591 ) / 1
LCM(554,1591) = 881414 / 1
LCM(554,1591) = 881414
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FAQs on GCF of Fractions of 9870/554, 6425/1591
1. What is the HCF of 9870,6425?
The HCF of 9870,6425 is 5
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 9870/554, 6425/1591?
Answer: GCF of Numerators as per given numbers 9870/554, 6425/1591 is
GCF of Numerators i.e. for 9870,6425 is 5
LCM of denominators i.e. for 554,1591 is 881414.
Thus, GCF of Fractions is 5/881414.Finally, GCF of Fractions for 9870/554, 6425/1591 is 5/881414.