GCF of 4870/788, 9310/129
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4870/788, 9310/129 i.e 10/101652 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4870/788, 9310/129.
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 4870/788,9310/129?
Given fractions are 4870/788,9310/129
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 4870/788,9310/129, numerators are 4870,9310
Denominators are 788,129
The GCF of 4870,9310 is 10 .
LCM of 788,129 is 101652.
The greatest common factor of 4870/788,9310/129 = [GCF of 4870,9310]/[LCM of 788,129]= 10/101652
Therefore, the GCF of 4870/788,9310/129 is 10/101652.
To find the highest common factor of 4870,9310, we have to find the factors of both numbers and list the highest common factor.
The factors of 4870 are 1, 2, 5, 10, 487, 974, 2435, 4870
The factors of 9310 are 1, 2, 5, 7, 10, 14, 19, 35, 38, 49, 70, 95, 98, 133, 190, 245, 266, 490, 665, 931, 1330, 1862, 4655, 9310
The HCF of 4870,9310 is 10.
Lets's calculate GCF of 4870,9310
| 2 | 4870, 9310 |
| 5 | 2435, 4655 |
| 487, 931 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 4870,9310 By Matching Biggest Common Factor Method
Now, list down the factors of 4870
:1,2,5,10,487,974,2435,4870
Now, list down the factors of 9310
:1,2,5,7,10,14,19,35,38,49,70,95,98,133,190,245,266,490,665,931,1330,1862,4655,9310
Greatest Common Factor
We found the factors 4870,9310 . The biggest common factor number is the GCF number.
So the greatest common factor 4870,9310 is 10.
Lets's calculate LCM of 788,129
Given numbers has no common factors except 1. So, there LCM is their product i.e 101652
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/101652
Therefore, the GCF of Fractions 4870/788,9310/129 is 10/101652
Least Common Multiple of 788,129 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 788,129 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(788,129) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(788,129) x common factors =1 x 1 = 1
LCM(788,129) = ( 788 × 129 ) / 1
LCM(788,129) = 101652 / 1
LCM(788,129) = 101652
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FAQs on GCF of Fractions of 4870/788, 9310/129
1. What is the HCF of 4870,9310?
The HCF of 4870,9310 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 4870/788, 9310/129?
Answer: GCF of Numerators as per given numbers 4870/788, 9310/129 is
GCF of Numerators i.e. for 4870,9310 is 10
LCM of denominators i.e. for 788,129 is 101652.
Thus, GCF of Fractions is 10/101652.Finally, GCF of Fractions for 4870/788, 9310/129 is 10/101652.