GCF of 310/56, 620/769
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 310/56, 620/769 i.e 310/43064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 310/56, 620/769.
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 310/56,620/769?
Given fractions are 310/56,620/769
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 310/56,620/769, numerators are 310,620
Denominators are 56,769
The GCF of 310,620 is 310 .
LCM of 56,769 is 43064.
The greatest common factor of 310/56,620/769 = [GCF of 310,620]/[LCM of 56,769]= 310/43064
Therefore, the GCF of 310/56,620/769 is 310/43064.
To find the highest common factor of 310,620, we have to find the factors of both numbers and list the highest common factor.
The factors of 310 are 1, 2, 5, 10, 31, 62, 155, 310
The factors of 620 are 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
The HCF of 310,620 is 310.
Lets's calculate GCF of 310,620
| 2 | 310, 620 |
| 5 | 155, 310 |
| 31 | 31, 62 |
| 1, 2 |
∴ So the GCF of the given numbers is 2 x 5 x 31 = 310
Greatest Common Factor of 310,620 By Matching Biggest Common Factor Method
Now, list down the factors of 310
:1,2,5,10,31,62,155,310
Now, list down the factors of 620
:1,2,4,5,10,20,31,62,124,155,310,620
Greatest Common Factor
We found the factors 310,620 . The biggest common factor number is the GCF number.
So the greatest common factor 310,620 is 310.
Lets's calculate LCM of 56,769
Given numbers has no common factors except 1. So, there LCM is their product i.e 43064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 310/43064
Therefore, the GCF of Fractions 310/56,620/769 is 310/43064
Least Common Multiple of 56,769 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 56,769 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,769) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(56,769) x common factors =1 x 1 = 1
LCM(56,769) = ( 56 × 769 ) / 1
LCM(56,769) = 43064 / 1
LCM(56,769) = 43064
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FAQs on GCF of Fractions of 310/56, 620/769
1. What is the HCF of 310,620?
The HCF of 310,620 is 310
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 310/56, 620/769?
Answer: GCF of Numerators as per given numbers 310/56, 620/769 is
GCF of Numerators i.e. for 310,620 is 310
LCM of denominators i.e. for 56,769 is 43064.
Thus, GCF of Fractions is 310/43064.Finally, GCF of Fractions for 310/56, 620/769 is 310/43064.