GCF of 8548/318, 9814/7108
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8548/318, 9814/7108 i.e 2/1130172 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8548/318, 9814/7108.
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 8548/318,9814/7108?
Given fractions are 8548/318,9814/7108
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 8548/318,9814/7108, numerators are 8548,9814
Denominators are 318,7108
The GCF of 8548,9814 is 2 .
LCM of 318,7108 is 1130172.
The greatest common factor of 8548/318,9814/7108 = [GCF of 8548,9814]/[LCM of 318,7108]= 2/1130172
Therefore, the GCF of 8548/318,9814/7108 is 2/1130172.
To find the highest common factor of 8548,9814, we have to find the factors of both numbers and list the highest common factor.
The factors of 8548 are 1, 2, 4, 2137, 4274, 8548
The factors of 9814 are 1, 2, 7, 14, 701, 1402, 4907, 9814
The HCF of 8548,9814 is 2.
Lets's calculate GCF of 8548,9814
| 2 | 8548, 9814 |
| 4274, 4907 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8548,9814 By Matching Biggest Common Factor Method
Now, list down the factors of 8548
:1,2,4,2137,4274,8548
Now, list down the factors of 9814
:1,2,7,14,701,1402,4907,9814
Greatest Common Factor
We found the factors 8548,9814 . The biggest common factor number is the GCF number.
So the greatest common factor 8548,9814 is 2.
Lets's calculate LCM of 318,7108
| 2 | 318, 7108 |
| 159, 3554 |
∴ So the LCM of the given numbers is 2 x 159 x 3554 = 1130172
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1130172
Therefore, the GCF of Fractions 8548/318,9814/7108 is 2/1130172
Least Common Multiple of 318,7108 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 318,7108 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(318,7108) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(318,7108) x common factors =2 x 1 = 2
LCM(318,7108) = ( 318 × 7108 ) / 2
LCM(318,7108) = 2260344 / 2
LCM(318,7108) = 1130172
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FAQs on GCF of Fractions of 8548/318, 9814/7108
1. What is the HCF of 8548,9814?
The HCF of 8548,9814 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 8548/318, 9814/7108?
Answer: GCF of Numerators as per given numbers 8548/318, 9814/7108 is
GCF of Numerators i.e. for 8548,9814 is 2
LCM of denominators i.e. for 318,7108 is 1130172.
Thus, GCF of Fractions is 2/1130172.Finally, GCF of Fractions for 8548/318, 9814/7108 is 2/1130172.