GCF of 961/220, 752/989, 384/282
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 961/220, 752/989, 384/282 i.e 1/30678780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 961/220, 752/989, 384/282.
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 961/220,752/989,384/282?
Given fractions are 961/220,752/989,384/282
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 961/220,752/989,384/282, numerators are 961,752,384
Denominators are 220,989,282
The GCF of 961,752,384 is 1 .
LCM of 220,989,282 is 30678780.
The greatest common factor of 961/220,752/989,384/282 = [GCF of 961,752,384]/[LCM of 220,989,282]= 1/30678780
Therefore, the GCF of 961/220,752/989,384/282 is 1/30678780.
To find the highest common factor of 961,752,384, we have to find the factors of both numbers and list the highest common factor.
The factors of 961 are 1, 31, 961
The factors of 752 are 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
The factors of 384 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
The HCF of 961,752,384 is 1.
Lets's calculate GCF of 961,752,384
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 961,752,384 By Matching Biggest Common Factor Method
Now, list down the factors of 961
:1,31,961
Now, list down the factors of 752
:1,2,4,8,16,47,94,188,376,752
Now, list down the factors of 384
:1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384
Greatest Common Factor
We found the factors 961,752,384 . The biggest common factor number is the GCF number.
So the greatest common factor 961,752,384 is 1.
Lets's calculate LCM of 220,989,282
| 2 | 220, 989, 282 |
| 110, 989, 141 |
∴ So the LCM of the given numbers is 2 x 110 x 989 x 141 = 30678780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30678780
Therefore, the GCF of Fractions 961/220,752/989,384/282 is 1/30678780
Least Common Multiple of 220,989,282 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 220,989,282 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(220,989,282) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(220,989,282) x common factors =1 x 2 = 2
LCM(220,989,282) = ( 220 × 989 × 282 ) / 2
LCM(220,989,282) = 61357560 / 2
LCM(220,989,282) = 30678780
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 961/220, 752/989, 384/282
1. What is the HCF of 961,752,384?
The HCF of 961,752,384 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 961/220, 752/989, 384/282?
Answer: GCF of Numerators as per given numbers 961/220, 752/989, 384/282 is
GCF of Numerators i.e. for 961,752,384 is 1
LCM of denominators i.e. for 220,989,282 is 30678780.
Thus, GCF of Fractions is 1/30678780.Finally, GCF of Fractions for 961/220, 752/989, 384/282 is 1/30678780.