GCF of 4222/748, 8650/7306
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4222/748, 8650/7306 i.e 2/2732444 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4222/748, 8650/7306.
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 4222/748,8650/7306?
Given fractions are 4222/748,8650/7306
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 4222/748,8650/7306, numerators are 4222,8650
Denominators are 748,7306
The GCF of 4222,8650 is 2 .
LCM of 748,7306 is 2732444.
The greatest common factor of 4222/748,8650/7306 = [GCF of 4222,8650]/[LCM of 748,7306]= 2/2732444
Therefore, the GCF of 4222/748,8650/7306 is 2/2732444.
To find the highest common factor of 4222,8650, we have to find the factors of both numbers and list the highest common factor.
The factors of 4222 are 1, 2, 2111, 4222
The factors of 8650 are 1, 2, 5, 10, 25, 50, 173, 346, 865, 1730, 4325, 8650
The HCF of 4222,8650 is 2.
Lets's calculate GCF of 4222,8650
| 2 | 4222, 8650 |
| 2111, 4325 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4222,8650 By Matching Biggest Common Factor Method
Now, list down the factors of 4222
:1,2,2111,4222
Now, list down the factors of 8650
:1,2,5,10,25,50,173,346,865,1730,4325,8650
Greatest Common Factor
We found the factors 4222,8650 . The biggest common factor number is the GCF number.
So the greatest common factor 4222,8650 is 2.
Lets's calculate LCM of 748,7306
| 2 | 748, 7306 |
| 374, 3653 |
∴ So the LCM of the given numbers is 2 x 374 x 3653 = 2732444
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2732444
Therefore, the GCF of Fractions 4222/748,8650/7306 is 2/2732444
Least Common Multiple of 748,7306 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 748,7306 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(748,7306) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(748,7306) x common factors =2 x 1 = 2
LCM(748,7306) = ( 748 × 7306 ) / 2
LCM(748,7306) = 5464888 / 2
LCM(748,7306) = 2732444
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FAQs on GCF of Fractions of 4222/748, 8650/7306
1. What is the HCF of 4222,8650?
The HCF of 4222,8650 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 4222/748, 8650/7306?
Answer: GCF of Numerators as per given numbers 4222/748, 8650/7306 is
GCF of Numerators i.e. for 4222,8650 is 2
LCM of denominators i.e. for 748,7306 is 2732444.
Thus, GCF of Fractions is 2/2732444.Finally, GCF of Fractions for 4222/748, 8650/7306 is 2/2732444.