GCF of 5178/652, 8758/7997
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5178/652, 8758/7997 i.e 2/5214044 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5178/652, 8758/7997.
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 5178/652,8758/7997?
Given fractions are 5178/652,8758/7997
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 5178/652,8758/7997, numerators are 5178,8758
Denominators are 652,7997
The GCF of 5178,8758 is 2 .
LCM of 652,7997 is 5214044.
The greatest common factor of 5178/652,8758/7997 = [GCF of 5178,8758]/[LCM of 652,7997]= 2/5214044
Therefore, the GCF of 5178/652,8758/7997 is 2/5214044.
To find the highest common factor of 5178,8758, we have to find the factors of both numbers and list the highest common factor.
The factors of 5178 are 1, 2, 3, 6, 863, 1726, 2589, 5178
The factors of 8758 are 1, 2, 29, 58, 151, 302, 4379, 8758
The HCF of 5178,8758 is 2.
Lets's calculate GCF of 5178,8758
| 2 | 5178, 8758 |
| 2589, 4379 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5178,8758 By Matching Biggest Common Factor Method
Now, list down the factors of 5178
:1,2,3,6,863,1726,2589,5178
Now, list down the factors of 8758
:1,2,29,58,151,302,4379,8758
Greatest Common Factor
We found the factors 5178,8758 . The biggest common factor number is the GCF number.
So the greatest common factor 5178,8758 is 2.
Lets's calculate LCM of 652,7997
Given numbers has no common factors except 1. So, there LCM is their product i.e 5214044
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5214044
Therefore, the GCF of Fractions 5178/652,8758/7997 is 2/5214044
Least Common Multiple of 652,7997 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 652,7997 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(652,7997) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(652,7997) x common factors =1 x 1 = 1
LCM(652,7997) = ( 652 × 7997 ) / 1
LCM(652,7997) = 5214044 / 1
LCM(652,7997) = 5214044
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FAQs on GCF of Fractions of 5178/652, 8758/7997
1. What is the HCF of 5178,8758?
The HCF of 5178,8758 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 5178/652, 8758/7997?
Answer: GCF of Numerators as per given numbers 5178/652, 8758/7997 is
GCF of Numerators i.e. for 5178,8758 is 2
LCM of denominators i.e. for 652,7997 is 5214044.
Thus, GCF of Fractions is 2/5214044.Finally, GCF of Fractions for 5178/652, 8758/7997 is 2/5214044.