GCF of 9674/245, 9234/7862
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9674/245, 9234/7862 i.e 2/1926190 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9674/245, 9234/7862.
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 9674/245,9234/7862?
Given fractions are 9674/245,9234/7862
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 9674/245,9234/7862, numerators are 9674,9234
Denominators are 245,7862
The GCF of 9674,9234 is 2 .
LCM of 245,7862 is 1926190.
The greatest common factor of 9674/245,9234/7862 = [GCF of 9674,9234]/[LCM of 245,7862]= 2/1926190
Therefore, the GCF of 9674/245,9234/7862 is 2/1926190.
To find the highest common factor of 9674,9234, we have to find the factors of both numbers and list the highest common factor.
The factors of 9674 are 1, 2, 7, 14, 691, 1382, 4837, 9674
The factors of 9234 are 1, 2, 3, 6, 9, 18, 19, 27, 38, 54, 57, 81, 114, 162, 171, 243, 342, 486, 513, 1026, 1539, 3078, 4617, 9234
The HCF of 9674,9234 is 2.
Lets's calculate GCF of 9674,9234
| 2 | 9674, 9234 |
| 4837, 4617 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9674,9234 By Matching Biggest Common Factor Method
Now, list down the factors of 9674
:1,2,7,14,691,1382,4837,9674
Now, list down the factors of 9234
:1,2,3,6,9,18,19,27,38,54,57,81,114,162,171,243,342,486,513,1026,1539,3078,4617,9234
Greatest Common Factor
We found the factors 9674,9234 . The biggest common factor number is the GCF number.
So the greatest common factor 9674,9234 is 2.
Lets's calculate LCM of 245,7862
Given numbers has no common factors except 1. So, there LCM is their product i.e 1926190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1926190
Therefore, the GCF of Fractions 9674/245,9234/7862 is 2/1926190
Least Common Multiple of 245,7862 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 245,7862 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(245,7862) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(245,7862) x common factors =1 x 1 = 1
LCM(245,7862) = ( 245 × 7862 ) / 1
LCM(245,7862) = 1926190 / 1
LCM(245,7862) = 1926190
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FAQs on GCF of Fractions of 9674/245, 9234/7862
1. What is the HCF of 9674,9234?
The HCF of 9674,9234 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 9674/245, 9234/7862?
Answer: GCF of Numerators as per given numbers 9674/245, 9234/7862 is
GCF of Numerators i.e. for 9674,9234 is 2
LCM of denominators i.e. for 245,7862 is 1926190.
Thus, GCF of Fractions is 2/1926190.Finally, GCF of Fractions for 9674/245, 9234/7862 is 2/1926190.