GCF of 7222/856, 7151/289
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7222/856, 7151/289 i.e 1/247384 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7222/856, 7151/289.
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 7222/856,7151/289?
Given fractions are 7222/856,7151/289
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 7222/856,7151/289, numerators are 7222,7151
Denominators are 856,289
The GCF of 7222,7151 is 1 .
LCM of 856,289 is 247384.
The greatest common factor of 7222/856,7151/289 = [GCF of 7222,7151]/[LCM of 856,289]= 1/247384
Therefore, the GCF of 7222/856,7151/289 is 1/247384.
To find the highest common factor of 7222,7151, we have to find the factors of both numbers and list the highest common factor.
The factors of 7222 are 1, 2, 23, 46, 157, 314, 3611, 7222
The factors of 7151 are 1, 7151
The HCF of 7222,7151 is 1.
Lets's calculate GCF of 7222,7151
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7222,7151 By Matching Biggest Common Factor Method
Now, list down the factors of 7222
:1,2,23,46,157,314,3611,7222
Now, list down the factors of 7151
:1,7151
Greatest Common Factor
We found the factors 7222,7151 . The biggest common factor number is the GCF number.
So the greatest common factor 7222,7151 is 1.
Lets's calculate LCM of 856,289
Given numbers has no common factors except 1. So, there LCM is their product i.e 247384
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/247384
Therefore, the GCF of Fractions 7222/856,7151/289 is 1/247384
Least Common Multiple of 856,289 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 856,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(856,289) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(856,289) x common factors =1 x 1 = 1
LCM(856,289) = ( 856 × 289 ) / 1
LCM(856,289) = 247384 / 1
LCM(856,289) = 247384
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FAQs on GCF of Fractions of 7222/856, 7151/289
1. What is the HCF of 7222,7151?
The HCF of 7222,7151 is 1
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 7222/856, 7151/289?
Answer: GCF of Numerators as per given numbers 7222/856, 7151/289 is
GCF of Numerators i.e. for 7222,7151 is 1
LCM of denominators i.e. for 856,289 is 247384.
Thus, GCF of Fractions is 1/247384.Finally, GCF of Fractions for 7222/856, 7151/289 is 1/247384.