GCF of 4619/972, 3056/8520
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4619/972, 3056/8520 i.e 1/690120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4619/972, 3056/8520.
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 4619/972,3056/8520?
Given fractions are 4619/972,3056/8520
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 4619/972,3056/8520, numerators are 4619,3056
Denominators are 972,8520
The GCF of 4619,3056 is 1 .
LCM of 972,8520 is 690120.
The greatest common factor of 4619/972,3056/8520 = [GCF of 4619,3056]/[LCM of 972,8520]= 1/690120
Therefore, the GCF of 4619/972,3056/8520 is 1/690120.
To find the highest common factor of 4619,3056, we have to find the factors of both numbers and list the highest common factor.
The factors of 4619 are 1, 31, 149, 4619
The factors of 3056 are 1, 2, 4, 8, 16, 191, 382, 764, 1528, 3056
The HCF of 4619,3056 is 1.
Lets's calculate GCF of 4619,3056
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4619,3056 By Matching Biggest Common Factor Method
Now, list down the factors of 4619
:1,31,149,4619
Now, list down the factors of 3056
:1,2,4,8,16,191,382,764,1528,3056
Greatest Common Factor
We found the factors 4619,3056 . The biggest common factor number is the GCF number.
So the greatest common factor 4619,3056 is 1.
Lets's calculate LCM of 972,8520
| 2 | 972, 8520 |
| 2 | 486, 4260 |
| 3 | 243, 2130 |
| 81, 710 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 81 x 710 = 690120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/690120
Therefore, the GCF of Fractions 4619/972,3056/8520 is 1/690120
Least Common Multiple of 972,8520 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 972,8520 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(972,8520) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(972,8520) x common factors =12 x 1 = 12
LCM(972,8520) = ( 972 × 8520 ) / 12
LCM(972,8520) = 8281440 / 12
LCM(972,8520) = 690120
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FAQs on GCF of Fractions of 4619/972, 3056/8520
1. What is the HCF of 4619,3056?
The HCF of 4619,3056 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 4619/972, 3056/8520?
Answer: GCF of Numerators as per given numbers 4619/972, 3056/8520 is
GCF of Numerators i.e. for 4619,3056 is 1
LCM of denominators i.e. for 972,8520 is 690120.
Thus, GCF of Fractions is 1/690120.Finally, GCF of Fractions for 4619/972, 3056/8520 is 1/690120.