GCF of 4886/768, 7245/5481
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4886/768, 7245/5481 i.e 7/1403136 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4886/768, 7245/5481.
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 4886/768,7245/5481?
Given fractions are 4886/768,7245/5481
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 4886/768,7245/5481, numerators are 4886,7245
Denominators are 768,5481
The GCF of 4886,7245 is 7 .
LCM of 768,5481 is 1403136.
The greatest common factor of 4886/768,7245/5481 = [GCF of 4886,7245]/[LCM of 768,5481]= 7/1403136
Therefore, the GCF of 4886/768,7245/5481 is 7/1403136.
To find the highest common factor of 4886,7245, we have to find the factors of both numbers and list the highest common factor.
The factors of 4886 are 1, 2, 7, 14, 349, 698, 2443, 4886
The factors of 7245 are 1, 3, 5, 7, 9, 15, 21, 23, 35, 45, 63, 69, 105, 115, 161, 207, 315, 345, 483, 805, 1035, 1449, 2415, 7245
The HCF of 4886,7245 is 7.
Lets's calculate GCF of 4886,7245
| 7 | 4886, 7245 |
| 698, 1035 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 4886,7245 By Matching Biggest Common Factor Method
Now, list down the factors of 4886
:1,2,7,14,349,698,2443,4886
Now, list down the factors of 7245
:1,3,5,7,9,15,21,23,35,45,63,69,105,115,161,207,315,345,483,805,1035,1449,2415,7245
Greatest Common Factor
We found the factors 4886,7245 . The biggest common factor number is the GCF number.
So the greatest common factor 4886,7245 is 7.
Lets's calculate LCM of 768,5481
| 3 | 768, 5481 |
| 256, 1827 |
∴ So the LCM of the given numbers is 3 x 256 x 1827 = 1403136
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/1403136
Therefore, the GCF of Fractions 4886/768,7245/5481 is 7/1403136
Least Common Multiple of 768,5481 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 768,5481 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(768,5481) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(768,5481) x common factors =3 x 1 = 3
LCM(768,5481) = ( 768 × 5481 ) / 3
LCM(768,5481) = 4209408 / 3
LCM(768,5481) = 1403136
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FAQs on GCF of Fractions of 4886/768, 7245/5481
1. What is the HCF of 4886,7245?
The HCF of 4886,7245 is 7
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 4886/768, 7245/5481?
Answer: GCF of Numerators as per given numbers 4886/768, 7245/5481 is
GCF of Numerators i.e. for 4886,7245 is 7
LCM of denominators i.e. for 768,5481 is 1403136.
Thus, GCF of Fractions is 7/1403136.Finally, GCF of Fractions for 4886/768, 7245/5481 is 7/1403136.