GCF of 7120/525, 5332/4810
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7120/525, 5332/4810 i.e 4/505050 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7120/525, 5332/4810.
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 7120/525,5332/4810?
Given fractions are 7120/525,5332/4810
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 7120/525,5332/4810, numerators are 7120,5332
Denominators are 525,4810
The GCF of 7120,5332 is 4 .
LCM of 525,4810 is 505050.
The greatest common factor of 7120/525,5332/4810 = [GCF of 7120,5332]/[LCM of 525,4810]= 4/505050
Therefore, the GCF of 7120/525,5332/4810 is 4/505050.
To find the highest common factor of 7120,5332, we have to find the factors of both numbers and list the highest common factor.
The factors of 7120 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 89, 178, 356, 445, 712, 890, 1424, 1780, 3560, 7120
The factors of 5332 are 1, 2, 4, 31, 43, 62, 86, 124, 172, 1333, 2666, 5332
The HCF of 7120,5332 is 4.
Lets's calculate GCF of 7120,5332
| 2 | 7120, 5332 |
| 2 | 3560, 2666 |
| 1780, 1333 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 7120,5332 By Matching Biggest Common Factor Method
Now, list down the factors of 7120
:1,2,4,5,8,10,16,20,40,80,89,178,356,445,712,890,1424,1780,3560,7120
Now, list down the factors of 5332
:1,2,4,31,43,62,86,124,172,1333,2666,5332
Greatest Common Factor
We found the factors 7120,5332 . The biggest common factor number is the GCF number.
So the greatest common factor 7120,5332 is 4.
Lets's calculate LCM of 525,4810
| 5 | 525, 4810 |
| 105, 962 |
∴ So the LCM of the given numbers is 5 x 105 x 962 = 505050
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/505050
Therefore, the GCF of Fractions 7120/525,5332/4810 is 4/505050
Least Common Multiple of 525,4810 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 525,4810 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(525,4810) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(525,4810) x common factors =5 x 1 = 5
LCM(525,4810) = ( 525 × 4810 ) / 5
LCM(525,4810) = 2525250 / 5
LCM(525,4810) = 505050
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FAQs on GCF of Fractions of 7120/525, 5332/4810
1. What is the HCF of 7120,5332?
The HCF of 7120,5332 is 4
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 7120/525, 5332/4810?
Answer: GCF of Numerators as per given numbers 7120/525, 5332/4810 is
GCF of Numerators i.e. for 7120,5332 is 4
LCM of denominators i.e. for 525,4810 is 505050.
Thus, GCF of Fractions is 4/505050.Finally, GCF of Fractions for 7120/525, 5332/4810 is 4/505050.