GCF of 528/78, 716/544
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 528/78, 716/544 i.e 4/21216 easily. The following is the detailed procedure to determine the greatest common factor of fractions 528/78, 716/544.
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 528/78,716/544?
Given fractions are 528/78,716/544
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 528/78,716/544, numerators are 528,716
Denominators are 78,544
The GCF of 528,716 is 4 .
LCM of 78,544 is 21216.
The greatest common factor of 528/78,716/544 = [GCF of 528,716]/[LCM of 78,544]= 4/21216
Therefore, the GCF of 528/78,716/544 is 4/21216.
To find the highest common factor of 528,716, we have to find the factors of both numbers and list the highest common factor.
The factors of 528 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
The factors of 716 are 1, 2, 4, 179, 358, 716
The HCF of 528,716 is 4.
Lets's calculate GCF of 528,716
| 2 | 528, 716 |
| 2 | 264, 358 |
| 132, 179 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 528,716 By Matching Biggest Common Factor Method
Now, list down the factors of 528
:1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528
Now, list down the factors of 716
:1,2,4,179,358,716
Greatest Common Factor
We found the factors 528,716 . The biggest common factor number is the GCF number.
So the greatest common factor 528,716 is 4.
Lets's calculate LCM of 78,544
| 2 | 78, 544 |
| 39, 272 |
∴ So the LCM of the given numbers is 2 x 39 x 272 = 21216
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/21216
Therefore, the GCF of Fractions 528/78,716/544 is 4/21216
Least Common Multiple of 78,544 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 78,544 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,544) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(78,544) x common factors =2 x 1 = 2
LCM(78,544) = ( 78 × 544 ) / 2
LCM(78,544) = 42432 / 2
LCM(78,544) = 21216
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FAQs on GCF of Fractions of 528/78, 716/544
1. What is the HCF of 528,716?
The HCF of 528,716 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 528/78, 716/544?
Answer: GCF of Numerators as per given numbers 528/78, 716/544 is
GCF of Numerators i.e. for 528,716 is 4
LCM of denominators i.e. for 78,544 is 21216.
Thus, GCF of Fractions is 4/21216.Finally, GCF of Fractions for 528/78, 716/544 is 4/21216.