GCF of 7156/674, 9690/731
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7156/674, 9690/731 i.e 2/492694 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7156/674, 9690/731.
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 7156/674,9690/731?
Given fractions are 7156/674,9690/731
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 7156/674,9690/731, numerators are 7156,9690
Denominators are 674,731
The GCF of 7156,9690 is 2 .
LCM of 674,731 is 492694.
The greatest common factor of 7156/674,9690/731 = [GCF of 7156,9690]/[LCM of 674,731]= 2/492694
Therefore, the GCF of 7156/674,9690/731 is 2/492694.
To find the highest common factor of 7156,9690, we have to find the factors of both numbers and list the highest common factor.
The factors of 7156 are 1, 2, 4, 1789, 3578, 7156
The factors of 9690 are 1, 2, 3, 5, 6, 10, 15, 17, 19, 30, 34, 38, 51, 57, 85, 95, 102, 114, 170, 190, 255, 285, 323, 510, 570, 646, 969, 1615, 1938, 3230, 4845, 9690
The HCF of 7156,9690 is 2.
Lets's calculate GCF of 7156,9690
| 2 | 7156, 9690 |
| 3578, 4845 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7156,9690 By Matching Biggest Common Factor Method
Now, list down the factors of 7156
:1,2,4,1789,3578,7156
Now, list down the factors of 9690
:1,2,3,5,6,10,15,17,19,30,34,38,51,57,85,95,102,114,170,190,255,285,323,510,570,646,969,1615,1938,3230,4845,9690
Greatest Common Factor
We found the factors 7156,9690 . The biggest common factor number is the GCF number.
So the greatest common factor 7156,9690 is 2.
Lets's calculate LCM of 674,731
Given numbers has no common factors except 1. So, there LCM is their product i.e 492694
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/492694
Therefore, the GCF of Fractions 7156/674,9690/731 is 2/492694
Least Common Multiple of 674,731 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 674,731 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(674,731) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(674,731) x common factors =1 x 1 = 1
LCM(674,731) = ( 674 × 731 ) / 1
LCM(674,731) = 492694 / 1
LCM(674,731) = 492694
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FAQs on GCF of Fractions of 7156/674, 9690/731
1. What is the HCF of 7156,9690?
The HCF of 7156,9690 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 7156/674, 9690/731?
Answer: GCF of Numerators as per given numbers 7156/674, 9690/731 is
GCF of Numerators i.e. for 7156,9690 is 2
LCM of denominators i.e. for 674,731 is 492694.
Thus, GCF of Fractions is 2/492694.Finally, GCF of Fractions for 7156/674, 9690/731 is 2/492694.