GCF of 8410/923, 4870/758
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8410/923, 4870/758 i.e 10/699634 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8410/923, 4870/758.
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 8410/923,4870/758?
Given fractions are 8410/923,4870/758
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 8410/923,4870/758, numerators are 8410,4870
Denominators are 923,758
The GCF of 8410,4870 is 10 .
LCM of 923,758 is 699634.
The greatest common factor of 8410/923,4870/758 = [GCF of 8410,4870]/[LCM of 923,758]= 10/699634
Therefore, the GCF of 8410/923,4870/758 is 10/699634.
To find the highest common factor of 8410,4870, we have to find the factors of both numbers and list the highest common factor.
The factors of 8410 are 1, 2, 5, 10, 29, 58, 145, 290, 841, 1682, 4205, 8410
The factors of 4870 are 1, 2, 5, 10, 487, 974, 2435, 4870
The HCF of 8410,4870 is 10.
Lets's calculate GCF of 8410,4870
| 2 | 8410, 4870 |
| 5 | 4205, 2435 |
| 841, 487 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 8410,4870 By Matching Biggest Common Factor Method
Now, list down the factors of 8410
:1,2,5,10,29,58,145,290,841,1682,4205,8410
Now, list down the factors of 4870
:1,2,5,10,487,974,2435,4870
Greatest Common Factor
We found the factors 8410,4870 . The biggest common factor number is the GCF number.
So the greatest common factor 8410,4870 is 10.
Lets's calculate LCM of 923,758
Given numbers has no common factors except 1. So, there LCM is their product i.e 699634
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/699634
Therefore, the GCF of Fractions 8410/923,4870/758 is 10/699634
Least Common Multiple of 923,758 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 923,758 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(923,758) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(923,758) x common factors =1 x 1 = 1
LCM(923,758) = ( 923 × 758 ) / 1
LCM(923,758) = 699634 / 1
LCM(923,758) = 699634
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FAQs on GCF of Fractions of 8410/923, 4870/758
1. What is the HCF of 8410,4870?
The HCF of 8410,4870 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 8410/923, 4870/758?
Answer: GCF of Numerators as per given numbers 8410/923, 4870/758 is
GCF of Numerators i.e. for 8410,4870 is 10
LCM of denominators i.e. for 923,758 is 699634.
Thus, GCF of Fractions is 10/699634.Finally, GCF of Fractions for 8410/923, 4870/758 is 10/699634.