GCF of 4820/750, 9917/8758
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4820/750, 9917/8758 i.e 1/3284250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4820/750, 9917/8758.
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 4820/750,9917/8758?
Given fractions are 4820/750,9917/8758
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 4820/750,9917/8758, numerators are 4820,9917
Denominators are 750,8758
The GCF of 4820,9917 is 1 .
LCM of 750,8758 is 3284250.
The greatest common factor of 4820/750,9917/8758 = [GCF of 4820,9917]/[LCM of 750,8758]= 1/3284250
Therefore, the GCF of 4820/750,9917/8758 is 1/3284250.
To find the highest common factor of 4820,9917, we have to find the factors of both numbers and list the highest common factor.
The factors of 4820 are 1, 2, 4, 5, 10, 20, 241, 482, 964, 1205, 2410, 4820
The factors of 9917 are 1, 47, 211, 9917
The HCF of 4820,9917 is 1.
Lets's calculate GCF of 4820,9917
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4820,9917 By Matching Biggest Common Factor Method
Now, list down the factors of 4820
:1,2,4,5,10,20,241,482,964,1205,2410,4820
Now, list down the factors of 9917
:1,47,211,9917
Greatest Common Factor
We found the factors 4820,9917 . The biggest common factor number is the GCF number.
So the greatest common factor 4820,9917 is 1.
Lets's calculate LCM of 750,8758
| 2 | 750, 8758 |
| 375, 4379 |
∴ So the LCM of the given numbers is 2 x 375 x 4379 = 3284250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3284250
Therefore, the GCF of Fractions 4820/750,9917/8758 is 1/3284250
Least Common Multiple of 750,8758 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 750,8758 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(750,8758) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(750,8758) x common factors =2 x 1 = 2
LCM(750,8758) = ( 750 × 8758 ) / 2
LCM(750,8758) = 6568500 / 2
LCM(750,8758) = 3284250
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FAQs on GCF of Fractions of 4820/750, 9917/8758
1. What is the HCF of 4820,9917?
The HCF of 4820,9917 is 1
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 4820/750, 9917/8758?
Answer: GCF of Numerators as per given numbers 4820/750, 9917/8758 is
GCF of Numerators i.e. for 4820,9917 is 1
LCM of denominators i.e. for 750,8758 is 3284250.
Thus, GCF of Fractions is 1/3284250.Finally, GCF of Fractions for 4820/750, 9917/8758 is 1/3284250.