GCF of 5163/698, 7056/2476
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5163/698, 7056/2476 i.e 3/864124 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5163/698, 7056/2476.
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 5163/698,7056/2476?
Given fractions are 5163/698,7056/2476
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 5163/698,7056/2476, numerators are 5163,7056
Denominators are 698,2476
The GCF of 5163,7056 is 3 .
LCM of 698,2476 is 864124.
The greatest common factor of 5163/698,7056/2476 = [GCF of 5163,7056]/[LCM of 698,2476]= 3/864124
Therefore, the GCF of 5163/698,7056/2476 is 3/864124.
To find the highest common factor of 5163,7056, we have to find the factors of both numbers and list the highest common factor.
The factors of 5163 are 1, 3, 1721, 5163
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 5163,7056 is 3.
Lets's calculate GCF of 5163,7056
| 3 | 5163, 7056 |
| 1721, 2352 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5163,7056 By Matching Biggest Common Factor Method
Now, list down the factors of 5163
:1,3,1721,5163
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 5163,7056 . The biggest common factor number is the GCF number.
So the greatest common factor 5163,7056 is 3.
Lets's calculate LCM of 698,2476
| 2 | 698, 2476 |
| 349, 1238 |
∴ So the LCM of the given numbers is 2 x 349 x 1238 = 864124
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/864124
Therefore, the GCF of Fractions 5163/698,7056/2476 is 3/864124
Least Common Multiple of 698,2476 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 698,2476 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(698,2476) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(698,2476) x common factors =2 x 1 = 2
LCM(698,2476) = ( 698 × 2476 ) / 2
LCM(698,2476) = 1728248 / 2
LCM(698,2476) = 864124
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FAQs on GCF of Fractions of 5163/698, 7056/2476
1. What is the HCF of 5163,7056?
The HCF of 5163,7056 is 3
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 5163/698, 7056/2476?
Answer: GCF of Numerators as per given numbers 5163/698, 7056/2476 is
GCF of Numerators i.e. for 5163,7056 is 3
LCM of denominators i.e. for 698,2476 is 864124.
Thus, GCF of Fractions is 3/864124.Finally, GCF of Fractions for 5163/698, 7056/2476 is 3/864124.