GCF of 623/15, 712/778
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 623/15, 712/778 i.e 89/11670 easily. The following is the detailed procedure to determine the greatest common factor of fractions 623/15, 712/778.
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 623/15,712/778?
Given fractions are 623/15,712/778
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 623/15,712/778, numerators are 623,712
Denominators are 15,778
The GCF of 623,712 is 89 .
LCM of 15,778 is 11670.
The greatest common factor of 623/15,712/778 = [GCF of 623,712]/[LCM of 15,778]= 89/11670
Therefore, the GCF of 623/15,712/778 is 89/11670.
To find the highest common factor of 623,712, we have to find the factors of both numbers and list the highest common factor.
The factors of 623 are 1, 7, 89, 623
The factors of 712 are 1, 2, 4, 8, 89, 178, 356, 712
The HCF of 623,712 is 89.
Lets's calculate GCF of 623,712
| 89 | 623, 712 |
| 7, 8 |
∴ So the GCF of the given numbers is 89 = 89
Greatest Common Factor of 623,712 By Matching Biggest Common Factor Method
Now, list down the factors of 623
:1,7,89,623
Now, list down the factors of 712
:1,2,4,8,89,178,356,712
Greatest Common Factor
We found the factors 623,712 . The biggest common factor number is the GCF number.
So the greatest common factor 623,712 is 89.
Lets's calculate LCM of 15,778
Given numbers has no common factors except 1. So, there LCM is their product i.e 11670
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 89/11670
Therefore, the GCF of Fractions 623/15,712/778 is 89/11670
Least Common Multiple of 15,778 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 15,778 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,778) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(15,778) x common factors =1 x 1 = 1
LCM(15,778) = ( 15 × 778 ) / 1
LCM(15,778) = 11670 / 1
LCM(15,778) = 11670
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FAQs on GCF of Fractions of 623/15, 712/778
1. What is the HCF of 623,712?
The HCF of 623,712 is 89
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 623/15, 712/778?
Answer: GCF of Numerators as per given numbers 623/15, 712/778 is
GCF of Numerators i.e. for 623,712 is 89
LCM of denominators i.e. for 15,778 is 11670.
Thus, GCF of Fractions is 89/11670.Finally, GCF of Fractions for 623/15, 712/778 is 89/11670.