GCF of 570/92, 648/959
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 570/92, 648/959 i.e 6/88228 easily. The following is the detailed procedure to determine the greatest common factor of fractions 570/92, 648/959.
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 570/92,648/959?
Given fractions are 570/92,648/959
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 570/92,648/959, numerators are 570,648
Denominators are 92,959
The GCF of 570,648 is 6 .
LCM of 92,959 is 88228.
The greatest common factor of 570/92,648/959 = [GCF of 570,648]/[LCM of 92,959]= 6/88228
Therefore, the GCF of 570/92,648/959 is 6/88228.
To find the highest common factor of 570,648, we have to find the factors of both numbers and list the highest common factor.
The factors of 570 are 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
The factors of 648 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
The HCF of 570,648 is 6.
Lets's calculate GCF of 570,648
| 2 | 570, 648 |
| 3 | 285, 324 |
| 95, 108 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 570,648 By Matching Biggest Common Factor Method
Now, list down the factors of 570
:1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570
Now, list down the factors of 648
:1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648
Greatest Common Factor
We found the factors 570,648 . The biggest common factor number is the GCF number.
So the greatest common factor 570,648 is 6.
Lets's calculate LCM of 92,959
Given numbers has no common factors except 1. So, there LCM is their product i.e 88228
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/88228
Therefore, the GCF of Fractions 570/92,648/959 is 6/88228
Least Common Multiple of 92,959 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 92,959 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(92,959) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(92,959) x common factors =1 x 1 = 1
LCM(92,959) = ( 92 × 959 ) / 1
LCM(92,959) = 88228 / 1
LCM(92,959) = 88228
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FAQs on GCF of Fractions of 570/92, 648/959
1. What is the HCF of 570,648?
The HCF of 570,648 is 6
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 570/92, 648/959?
Answer: GCF of Numerators as per given numbers 570/92, 648/959 is
GCF of Numerators i.e. for 570,648 is 6
LCM of denominators i.e. for 92,959 is 88228.
Thus, GCF of Fractions is 6/88228.Finally, GCF of Fractions for 570/92, 648/959 is 6/88228.