GCF of 2314/921, 8452/662
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2314/921, 8452/662 i.e 2/609702 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2314/921, 8452/662.
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 2314/921,8452/662?
Given fractions are 2314/921,8452/662
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 2314/921,8452/662, numerators are 2314,8452
Denominators are 921,662
The GCF of 2314,8452 is 2 .
LCM of 921,662 is 609702.
The greatest common factor of 2314/921,8452/662 = [GCF of 2314,8452]/[LCM of 921,662]= 2/609702
Therefore, the GCF of 2314/921,8452/662 is 2/609702.
To find the highest common factor of 2314,8452, we have to find the factors of both numbers and list the highest common factor.
The factors of 2314 are 1, 2, 13, 26, 89, 178, 1157, 2314
The factors of 8452 are 1, 2, 4, 2113, 4226, 8452
The HCF of 2314,8452 is 2.
Lets's calculate GCF of 2314,8452
| 2 | 2314, 8452 |
| 1157, 4226 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2314,8452 By Matching Biggest Common Factor Method
Now, list down the factors of 2314
:1,2,13,26,89,178,1157,2314
Now, list down the factors of 8452
:1,2,4,2113,4226,8452
Greatest Common Factor
We found the factors 2314,8452 . The biggest common factor number is the GCF number.
So the greatest common factor 2314,8452 is 2.
Lets's calculate LCM of 921,662
Given numbers has no common factors except 1. So, there LCM is their product i.e 609702
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/609702
Therefore, the GCF of Fractions 2314/921,8452/662 is 2/609702
Least Common Multiple of 921,662 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 921,662 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(921,662) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(921,662) x common factors =1 x 1 = 1
LCM(921,662) = ( 921 × 662 ) / 1
LCM(921,662) = 609702 / 1
LCM(921,662) = 609702
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FAQs on GCF of Fractions of 2314/921, 8452/662
1. What is the HCF of 2314,8452?
The HCF of 2314,8452 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 2314/921, 8452/662?
Answer: GCF of Numerators as per given numbers 2314/921, 8452/662 is
GCF of Numerators i.e. for 2314,8452 is 2
LCM of denominators i.e. for 921,662 is 609702.
Thus, GCF of Fractions is 2/609702.Finally, GCF of Fractions for 2314/921, 8452/662 is 2/609702.