GCF of 7810/720, 7056/588
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7810/720, 7056/588 i.e 2/35280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7810/720, 7056/588.
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 7810/720,7056/588?
Given fractions are 7810/720,7056/588
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 7810/720,7056/588, numerators are 7810,7056
Denominators are 720,588
The GCF of 7810,7056 is 2 .
LCM of 720,588 is 35280.
The greatest common factor of 7810/720,7056/588 = [GCF of 7810,7056]/[LCM of 720,588]= 2/35280
Therefore, the GCF of 7810/720,7056/588 is 2/35280.
To find the highest common factor of 7810,7056, we have to find the factors of both numbers and list the highest common factor.
The factors of 7810 are 1, 2, 5, 10, 11, 22, 55, 71, 110, 142, 355, 710, 781, 1562, 3905, 7810
The factors of 7056 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 49, 56, 63, 72, 84, 98, 112, 126, 144, 147, 168, 196, 252, 294, 336, 392, 441, 504, 588, 784, 882, 1008, 1176, 1764, 2352, 3528, 7056
The HCF of 7810,7056 is 2.
Lets's calculate GCF of 7810,7056
| 2 | 7810, 7056 |
| 3905, 3528 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7810,7056 By Matching Biggest Common Factor Method
Now, list down the factors of 7810
:1,2,5,10,11,22,55,71,110,142,355,710,781,1562,3905,7810
Now, list down the factors of 7056
:1,2,3,4,6,7,8,9,12,14,16,18,21,24,28,36,42,48,49,56,63,72,84,98,112,126,144,147,168,196,252,294,336,392,441,504,588,784,882,1008,1176,1764,2352,3528,7056
Greatest Common Factor
We found the factors 7810,7056 . The biggest common factor number is the GCF number.
So the greatest common factor 7810,7056 is 2.
Lets's calculate LCM of 720,588
| 2 | 720, 588 |
| 2 | 360, 294 |
| 3 | 180, 147 |
| 60, 49 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 60 x 49 = 35280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/35280
Therefore, the GCF of Fractions 7810/720,7056/588 is 2/35280
Least Common Multiple of 720,588 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 720,588 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(720,588) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(720,588) x common factors =12 x 1 = 12
LCM(720,588) = ( 720 × 588 ) / 12
LCM(720,588) = 423360 / 12
LCM(720,588) = 35280
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FAQs on GCF of Fractions of 7810/720, 7056/588
1. What is the HCF of 7810,7056?
The HCF of 7810,7056 is 2
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 7810/720, 7056/588?
Answer: GCF of Numerators as per given numbers 7810/720, 7056/588 is
GCF of Numerators i.e. for 7810,7056 is 2
LCM of denominators i.e. for 720,588 is 35280.
Thus, GCF of Fractions is 2/35280.Finally, GCF of Fractions for 7810/720, 7056/588 is 2/35280.