GCF of 7124/658, 1918/8511
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7124/658, 1918/8511 i.e 274/5600238 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7124/658, 1918/8511.
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 7124/658,1918/8511?
Given fractions are 7124/658,1918/8511
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 7124/658,1918/8511, numerators are 7124,1918
Denominators are 658,8511
The GCF of 7124,1918 is 274 .
LCM of 658,8511 is 5600238.
The greatest common factor of 7124/658,1918/8511 = [GCF of 7124,1918]/[LCM of 658,8511]= 274/5600238
Therefore, the GCF of 7124/658,1918/8511 is 274/5600238.
To find the highest common factor of 7124,1918, we have to find the factors of both numbers and list the highest common factor.
The factors of 7124 are 1, 2, 4, 13, 26, 52, 137, 274, 548, 1781, 3562, 7124
The factors of 1918 are 1, 2, 7, 14, 137, 274, 959, 1918
The HCF of 7124,1918 is 274.
Lets's calculate GCF of 7124,1918
| 2 | 7124, 1918 |
| 137 | 3562, 959 |
| 26, 7 |
∴ So the GCF of the given numbers is 2 x 137 = 274
Greatest Common Factor of 7124,1918 By Matching Biggest Common Factor Method
Now, list down the factors of 7124
:1,2,4,13,26,52,137,274,548,1781,3562,7124
Now, list down the factors of 1918
:1,2,7,14,137,274,959,1918
Greatest Common Factor
We found the factors 7124,1918 . The biggest common factor number is the GCF number.
So the greatest common factor 7124,1918 is 274.
Lets's calculate LCM of 658,8511
Given numbers has no common factors except 1. So, there LCM is their product i.e 5600238
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 274/5600238
Therefore, the GCF of Fractions 7124/658,1918/8511 is 274/5600238
Least Common Multiple of 658,8511 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 658,8511 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(658,8511) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(658,8511) x common factors =1 x 1 = 1
LCM(658,8511) = ( 658 × 8511 ) / 1
LCM(658,8511) = 5600238 / 1
LCM(658,8511) = 5600238
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FAQs on GCF of Fractions of 7124/658, 1918/8511
1. What is the HCF of 7124,1918?
The HCF of 7124,1918 is 274
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 7124/658, 1918/8511?
Answer: GCF of Numerators as per given numbers 7124/658, 1918/8511 is
GCF of Numerators i.e. for 7124,1918 is 274
LCM of denominators i.e. for 658,8511 is 5600238.
Thus, GCF of Fractions is 274/5600238.Finally, GCF of Fractions for 7124/658, 1918/8511 is 274/5600238.