GCF of 5313/828, 7110/700
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5313/828, 7110/700 i.e 3/144900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5313/828, 7110/700.
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 5313/828,7110/700?
Given fractions are 5313/828,7110/700
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 5313/828,7110/700, numerators are 5313,7110
Denominators are 828,700
The GCF of 5313,7110 is 3 .
LCM of 828,700 is 144900.
The greatest common factor of 5313/828,7110/700 = [GCF of 5313,7110]/[LCM of 828,700]= 3/144900
Therefore, the GCF of 5313/828,7110/700 is 3/144900.
To find the highest common factor of 5313,7110, we have to find the factors of both numbers and list the highest common factor.
The factors of 5313 are 1, 3, 7, 11, 21, 23, 33, 69, 77, 161, 231, 253, 483, 759, 1771, 5313
The factors of 7110 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 79, 90, 158, 237, 395, 474, 711, 790, 1185, 1422, 2370, 3555, 7110
The HCF of 5313,7110 is 3.
Lets's calculate GCF of 5313,7110
| 3 | 5313, 7110 |
| 1771, 2370 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5313,7110 By Matching Biggest Common Factor Method
Now, list down the factors of 5313
:1,3,7,11,21,23,33,69,77,161,231,253,483,759,1771,5313
Now, list down the factors of 7110
:1,2,3,5,6,9,10,15,18,30,45,79,90,158,237,395,474,711,790,1185,1422,2370,3555,7110
Greatest Common Factor
We found the factors 5313,7110 . The biggest common factor number is the GCF number.
So the greatest common factor 5313,7110 is 3.
Lets's calculate LCM of 828,700
| 2 | 828, 700 |
| 2 | 414, 350 |
| 207, 175 |
∴ So the LCM of the given numbers is 2 x 2 x 207 x 175 = 144900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/144900
Therefore, the GCF of Fractions 5313/828,7110/700 is 3/144900
Least Common Multiple of 828,700 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 828,700 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(828,700) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(828,700) x common factors =4 x 1 = 4
LCM(828,700) = ( 828 × 700 ) / 4
LCM(828,700) = 579600 / 4
LCM(828,700) = 144900
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FAQs on GCF of Fractions of 5313/828, 7110/700
1. What is the HCF of 5313,7110?
The HCF of 5313,7110 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 5313/828, 7110/700?
Answer: GCF of Numerators as per given numbers 5313/828, 7110/700 is
GCF of Numerators i.e. for 5313,7110 is 3
LCM of denominators i.e. for 828,700 is 144900.
Thus, GCF of Fractions is 3/144900.Finally, GCF of Fractions for 5313/828, 7110/700 is 3/144900.