GCF of 6872/526, 8984/9975
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6872/526, 8984/9975 i.e 8/5246850 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6872/526, 8984/9975.
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 6872/526,8984/9975?
Given fractions are 6872/526,8984/9975
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 6872/526,8984/9975, numerators are 6872,8984
Denominators are 526,9975
The GCF of 6872,8984 is 8 .
LCM of 526,9975 is 5246850.
The greatest common factor of 6872/526,8984/9975 = [GCF of 6872,8984]/[LCM of 526,9975]= 8/5246850
Therefore, the GCF of 6872/526,8984/9975 is 8/5246850.
To find the highest common factor of 6872,8984, we have to find the factors of both numbers and list the highest common factor.
The factors of 6872 are 1, 2, 4, 8, 859, 1718, 3436, 6872
The factors of 8984 are 1, 2, 4, 8, 1123, 2246, 4492, 8984
The HCF of 6872,8984 is 8.
Lets's calculate GCF of 6872,8984
| 2 | 6872, 8984 |
| 2 | 3436, 4492 |
| 2 | 1718, 2246 |
| 859, 1123 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 6872,8984 By Matching Biggest Common Factor Method
Now, list down the factors of 6872
:1,2,4,8,859,1718,3436,6872
Now, list down the factors of 8984
:1,2,4,8,1123,2246,4492,8984
Greatest Common Factor
We found the factors 6872,8984 . The biggest common factor number is the GCF number.
So the greatest common factor 6872,8984 is 8.
Lets's calculate LCM of 526,9975
Given numbers has no common factors except 1. So, there LCM is their product i.e 5246850
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/5246850
Therefore, the GCF of Fractions 6872/526,8984/9975 is 8/5246850
Least Common Multiple of 526,9975 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 526,9975 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(526,9975) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(526,9975) x common factors =1 x 1 = 1
LCM(526,9975) = ( 526 × 9975 ) / 1
LCM(526,9975) = 5246850 / 1
LCM(526,9975) = 5246850
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FAQs on GCF of Fractions of 6872/526, 8984/9975
1. What is the HCF of 6872,8984?
The HCF of 6872,8984 is 8
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 6872/526, 8984/9975?
Answer: GCF of Numerators as per given numbers 6872/526, 8984/9975 is
GCF of Numerators i.e. for 6872,8984 is 8
LCM of denominators i.e. for 526,9975 is 5246850.
Thus, GCF of Fractions is 8/5246850.Finally, GCF of Fractions for 6872/526, 8984/9975 is 8/5246850.