GCF of 5232/707, 8470/4140
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5232/707, 8470/4140 i.e 2/2926980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5232/707, 8470/4140.
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 5232/707,8470/4140?
Given fractions are 5232/707,8470/4140
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 5232/707,8470/4140, numerators are 5232,8470
Denominators are 707,4140
The GCF of 5232,8470 is 2 .
LCM of 707,4140 is 2926980.
The greatest common factor of 5232/707,8470/4140 = [GCF of 5232,8470]/[LCM of 707,4140]= 2/2926980
Therefore, the GCF of 5232/707,8470/4140 is 2/2926980.
To find the highest common factor of 5232,8470, we have to find the factors of both numbers and list the highest common factor.
The factors of 5232 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 109, 218, 327, 436, 654, 872, 1308, 1744, 2616, 5232
The factors of 8470 are 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 121, 154, 242, 385, 605, 770, 847, 1210, 1694, 4235, 8470
The HCF of 5232,8470 is 2.
Lets's calculate GCF of 5232,8470
| 2 | 5232, 8470 |
| 2616, 4235 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5232,8470 By Matching Biggest Common Factor Method
Now, list down the factors of 5232
:1,2,3,4,6,8,12,16,24,48,109,218,327,436,654,872,1308,1744,2616,5232
Now, list down the factors of 8470
:1,2,5,7,10,11,14,22,35,55,70,77,110,121,154,242,385,605,770,847,1210,1694,4235,8470
Greatest Common Factor
We found the factors 5232,8470 . The biggest common factor number is the GCF number.
So the greatest common factor 5232,8470 is 2.
Lets's calculate LCM of 707,4140
Given numbers has no common factors except 1. So, there LCM is their product i.e 2926980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2926980
Therefore, the GCF of Fractions 5232/707,8470/4140 is 2/2926980
Least Common Multiple of 707,4140 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 707,4140 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(707,4140) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(707,4140) x common factors =1 x 1 = 1
LCM(707,4140) = ( 707 × 4140 ) / 1
LCM(707,4140) = 2926980 / 1
LCM(707,4140) = 2926980
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FAQs on GCF of Fractions of 5232/707, 8470/4140
1. What is the HCF of 5232,8470?
The HCF of 5232,8470 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 5232/707, 8470/4140?
Answer: GCF of Numerators as per given numbers 5232/707, 8470/4140 is
GCF of Numerators i.e. for 5232,8470 is 2
LCM of denominators i.e. for 707,4140 is 2926980.
Thus, GCF of Fractions is 2/2926980.Finally, GCF of Fractions for 5232/707, 8470/4140 is 2/2926980.