GCF of 4920/296, 4716/687
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4920/296, 4716/687 i.e 12/203352 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4920/296, 4716/687.
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 4920/296,4716/687?
Given fractions are 4920/296,4716/687
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 4920/296,4716/687, numerators are 4920,4716
Denominators are 296,687
The GCF of 4920,4716 is 12 .
LCM of 296,687 is 203352.
The greatest common factor of 4920/296,4716/687 = [GCF of 4920,4716]/[LCM of 296,687]= 12/203352
Therefore, the GCF of 4920/296,4716/687 is 12/203352.
To find the highest common factor of 4920,4716, we have to find the factors of both numbers and list the highest common factor.
The factors of 4920 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 41, 60, 82, 120, 123, 164, 205, 246, 328, 410, 492, 615, 820, 984, 1230, 1640, 2460, 4920
The factors of 4716 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 131, 262, 393, 524, 786, 1179, 1572, 2358, 4716
The HCF of 4920,4716 is 12.
Lets's calculate GCF of 4920,4716
| 2 | 4920, 4716 |
| 2 | 2460, 2358 |
| 3 | 1230, 1179 |
| 410, 393 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 4920,4716 By Matching Biggest Common Factor Method
Now, list down the factors of 4920
:1,2,3,4,5,6,8,10,12,15,20,24,30,40,41,60,82,120,123,164,205,246,328,410,492,615,820,984,1230,1640,2460,4920
Now, list down the factors of 4716
:1,2,3,4,6,9,12,18,36,131,262,393,524,786,1179,1572,2358,4716
Greatest Common Factor
We found the factors 4920,4716 . The biggest common factor number is the GCF number.
So the greatest common factor 4920,4716 is 12.
Lets's calculate LCM of 296,687
Given numbers has no common factors except 1. So, there LCM is their product i.e 203352
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/203352
Therefore, the GCF of Fractions 4920/296,4716/687 is 12/203352
Least Common Multiple of 296,687 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 296,687 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(296,687) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(296,687) x common factors =1 x 1 = 1
LCM(296,687) = ( 296 × 687 ) / 1
LCM(296,687) = 203352 / 1
LCM(296,687) = 203352
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FAQs on GCF of Fractions of 4920/296, 4716/687
1. What is the HCF of 4920,4716?
The HCF of 4920,4716 is 12
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 4920/296, 4716/687?
Answer: GCF of Numerators as per given numbers 4920/296, 4716/687 is
GCF of Numerators i.e. for 4920,4716 is 12
LCM of denominators i.e. for 296,687 is 203352.
Thus, GCF of Fractions is 12/203352.Finally, GCF of Fractions for 4920/296, 4716/687 is 12/203352.