GCF of 5015/782, 1308/7220
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5015/782, 1308/7220 i.e 1/2823020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5015/782, 1308/7220.
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 5015/782,1308/7220?
Given fractions are 5015/782,1308/7220
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 5015/782,1308/7220, numerators are 5015,1308
Denominators are 782,7220
The GCF of 5015,1308 is 1 .
LCM of 782,7220 is 2823020.
The greatest common factor of 5015/782,1308/7220 = [GCF of 5015,1308]/[LCM of 782,7220]= 1/2823020
Therefore, the GCF of 5015/782,1308/7220 is 1/2823020.
To find the highest common factor of 5015,1308, we have to find the factors of both numbers and list the highest common factor.
The factors of 5015 are 1, 5, 17, 59, 85, 295, 1003, 5015
The factors of 1308 are 1, 2, 3, 4, 6, 12, 109, 218, 327, 436, 654, 1308
The HCF of 5015,1308 is 1.
Lets's calculate GCF of 5015,1308
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5015,1308 By Matching Biggest Common Factor Method
Now, list down the factors of 5015
:1,5,17,59,85,295,1003,5015
Now, list down the factors of 1308
:1,2,3,4,6,12,109,218,327,436,654,1308
Greatest Common Factor
We found the factors 5015,1308 . The biggest common factor number is the GCF number.
So the greatest common factor 5015,1308 is 1.
Lets's calculate LCM of 782,7220
| 2 | 782, 7220 |
| 391, 3610 |
∴ So the LCM of the given numbers is 2 x 391 x 3610 = 2823020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2823020
Therefore, the GCF of Fractions 5015/782,1308/7220 is 1/2823020
Least Common Multiple of 782,7220 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 782,7220 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(782,7220) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(782,7220) x common factors =2 x 1 = 2
LCM(782,7220) = ( 782 × 7220 ) / 2
LCM(782,7220) = 5646040 / 2
LCM(782,7220) = 2823020
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FAQs on GCF of Fractions of 5015/782, 1308/7220
1. What is the HCF of 5015,1308?
The HCF of 5015,1308 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 5015/782, 1308/7220?
Answer: GCF of Numerators as per given numbers 5015/782, 1308/7220 is
GCF of Numerators i.e. for 5015,1308 is 1
LCM of denominators i.e. for 782,7220 is 2823020.
Thus, GCF of Fractions is 1/2823020.Finally, GCF of Fractions for 5015/782, 1308/7220 is 1/2823020.