GCF of 528/287, 948/969
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 528/287, 948/969 i.e 12/278103 easily. The following is the detailed procedure to determine the greatest common factor of fractions 528/287, 948/969.
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 528/287,948/969?
Given fractions are 528/287,948/969
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 528/287,948/969, numerators are 528,948
Denominators are 287,969
The GCF of 528,948 is 12 .
LCM of 287,969 is 278103.
The greatest common factor of 528/287,948/969 = [GCF of 528,948]/[LCM of 287,969]= 12/278103
Therefore, the GCF of 528/287,948/969 is 12/278103.
To find the highest common factor of 528,948, 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 948 are 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
The HCF of 528,948 is 12.
Lets's calculate GCF of 528,948
| 2 | 528, 948 |
| 2 | 264, 474 |
| 3 | 132, 237 |
| 44, 79 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 528,948 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 948
:1,2,3,4,6,12,79,158,237,316,474,948
Greatest Common Factor
We found the factors 528,948 . The biggest common factor number is the GCF number.
So the greatest common factor 528,948 is 12.
Lets's calculate LCM of 287,969
Given numbers has no common factors except 1. So, there LCM is their product i.e 278103
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/278103
Therefore, the GCF of Fractions 528/287,948/969 is 12/278103
Least Common Multiple of 287,969 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 287,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(287,969) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(287,969) x common factors =1 x 1 = 1
LCM(287,969) = ( 287 × 969 ) / 1
LCM(287,969) = 278103 / 1
LCM(287,969) = 278103
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FAQs on GCF of Fractions of 528/287, 948/969
1. What is the HCF of 528,948?
The HCF of 528,948 is 12
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 528/287, 948/969?
Answer: GCF of Numerators as per given numbers 528/287, 948/969 is
GCF of Numerators i.e. for 528,948 is 12
LCM of denominators i.e. for 287,969 is 278103.
Thus, GCF of Fractions is 12/278103.Finally, GCF of Fractions for 528/287, 948/969 is 12/278103.