GCF of 2967/724, 6785/698
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2967/724, 6785/698 i.e 23/252676 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2967/724, 6785/698.
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 2967/724,6785/698?
Given fractions are 2967/724,6785/698
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 2967/724,6785/698, numerators are 2967,6785
Denominators are 724,698
The GCF of 2967,6785 is 23 .
LCM of 724,698 is 252676.
The greatest common factor of 2967/724,6785/698 = [GCF of 2967,6785]/[LCM of 724,698]= 23/252676
Therefore, the GCF of 2967/724,6785/698 is 23/252676.
To find the highest common factor of 2967,6785, we have to find the factors of both numbers and list the highest common factor.
The factors of 2967 are 1, 3, 23, 43, 69, 129, 989, 2967
The factors of 6785 are 1, 5, 23, 59, 115, 295, 1357, 6785
The HCF of 2967,6785 is 23.
Lets's calculate GCF of 2967,6785
| 23 | 2967, 6785 |
| 129, 295 |
∴ So the GCF of the given numbers is 23 = 23
Greatest Common Factor of 2967,6785 By Matching Biggest Common Factor Method
Now, list down the factors of 2967
:1,3,23,43,69,129,989,2967
Now, list down the factors of 6785
:1,5,23,59,115,295,1357,6785
Greatest Common Factor
We found the factors 2967,6785 . The biggest common factor number is the GCF number.
So the greatest common factor 2967,6785 is 23.
Lets's calculate LCM of 724,698
| 2 | 724, 698 |
| 362, 349 |
∴ So the LCM of the given numbers is 2 x 362 x 349 = 252676
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/252676
Therefore, the GCF of Fractions 2967/724,6785/698 is 23/252676
Least Common Multiple of 724,698 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 724,698 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(724,698) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(724,698) x common factors =2 x 1 = 2
LCM(724,698) = ( 724 × 698 ) / 2
LCM(724,698) = 505352 / 2
LCM(724,698) = 252676
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FAQs on GCF of Fractions of 2967/724, 6785/698
1. What is the HCF of 2967,6785?
The HCF of 2967,6785 is 23
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 2967/724, 6785/698?
Answer: GCF of Numerators as per given numbers 2967/724, 6785/698 is
GCF of Numerators i.e. for 2967,6785 is 23
LCM of denominators i.e. for 724,698 is 252676.
Thus, GCF of Fractions is 23/252676.Finally, GCF of Fractions for 2967/724, 6785/698 is 23/252676.