GCF of 1862/582, 8253/689
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1862/582, 8253/689 i.e 7/400998 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1862/582, 8253/689.
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 1862/582,8253/689?
Given fractions are 1862/582,8253/689
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 1862/582,8253/689, numerators are 1862,8253
Denominators are 582,689
The GCF of 1862,8253 is 7 .
LCM of 582,689 is 400998.
The greatest common factor of 1862/582,8253/689 = [GCF of 1862,8253]/[LCM of 582,689]= 7/400998
Therefore, the GCF of 1862/582,8253/689 is 7/400998.
To find the highest common factor of 1862,8253, we have to find the factors of both numbers and list the highest common factor.
The factors of 1862 are 1, 2, 7, 14, 19, 38, 49, 98, 133, 266, 931, 1862
The factors of 8253 are 1, 3, 7, 9, 21, 63, 131, 393, 917, 1179, 2751, 8253
The HCF of 1862,8253 is 7.
Lets's calculate GCF of 1862,8253
| 7 | 1862, 8253 |
| 266, 1179 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 1862,8253 By Matching Biggest Common Factor Method
Now, list down the factors of 1862
:1,2,7,14,19,38,49,98,133,266,931,1862
Now, list down the factors of 8253
:1,3,7,9,21,63,131,393,917,1179,2751,8253
Greatest Common Factor
We found the factors 1862,8253 . The biggest common factor number is the GCF number.
So the greatest common factor 1862,8253 is 7.
Lets's calculate LCM of 582,689
Given numbers has no common factors except 1. So, there LCM is their product i.e 400998
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/400998
Therefore, the GCF of Fractions 1862/582,8253/689 is 7/400998
Least Common Multiple of 582,689 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 582,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(582,689) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(582,689) x common factors =1 x 1 = 1
LCM(582,689) = ( 582 × 689 ) / 1
LCM(582,689) = 400998 / 1
LCM(582,689) = 400998
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FAQs on GCF of Fractions of 1862/582, 8253/689
1. What is the HCF of 1862,8253?
The HCF of 1862,8253 is 7
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 1862/582, 8253/689?
Answer: GCF of Numerators as per given numbers 1862/582, 8253/689 is
GCF of Numerators i.e. for 1862,8253 is 7
LCM of denominators i.e. for 582,689 is 400998.
Thus, GCF of Fractions is 7/400998.Finally, GCF of Fractions for 1862/582, 8253/689 is 7/400998.