GCF of 4715/377, 7222/676
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4715/377, 7222/676 i.e 23/19604 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4715/377, 7222/676.
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 4715/377,7222/676?
Given fractions are 4715/377,7222/676
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 4715/377,7222/676, numerators are 4715,7222
Denominators are 377,676
The GCF of 4715,7222 is 23 .
LCM of 377,676 is 19604.
The greatest common factor of 4715/377,7222/676 = [GCF of 4715,7222]/[LCM of 377,676]= 23/19604
Therefore, the GCF of 4715/377,7222/676 is 23/19604.
To find the highest common factor of 4715,7222, we have to find the factors of both numbers and list the highest common factor.
The factors of 4715 are 1, 5, 23, 41, 115, 205, 943, 4715
The factors of 7222 are 1, 2, 23, 46, 157, 314, 3611, 7222
The HCF of 4715,7222 is 23.
Lets's calculate GCF of 4715,7222
| 23 | 4715, 7222 |
| 205, 314 |
∴ So the GCF of the given numbers is 23 = 23
Greatest Common Factor of 4715,7222 By Matching Biggest Common Factor Method
Now, list down the factors of 4715
:1,5,23,41,115,205,943,4715
Now, list down the factors of 7222
:1,2,23,46,157,314,3611,7222
Greatest Common Factor
We found the factors 4715,7222 . The biggest common factor number is the GCF number.
So the greatest common factor 4715,7222 is 23.
Lets's calculate LCM of 377,676
| 13 | 377, 676 |
| 29, 52 |
∴ So the LCM of the given numbers is 13 x 29 x 52 = 19604
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/19604
Therefore, the GCF of Fractions 4715/377,7222/676 is 23/19604
Least Common Multiple of 377,676 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 377,676 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(377,676) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(377,676) x common factors =13 x 1 = 13
LCM(377,676) = ( 377 × 676 ) / 13
LCM(377,676) = 254852 / 13
LCM(377,676) = 19604
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FAQs on GCF of Fractions of 4715/377, 7222/676
1. What is the HCF of 4715,7222?
The HCF of 4715,7222 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 4715/377, 7222/676?
Answer: GCF of Numerators as per given numbers 4715/377, 7222/676 is
GCF of Numerators i.e. for 4715,7222 is 23
LCM of denominators i.e. for 377,676 is 19604.
Thus, GCF of Fractions is 23/19604.Finally, GCF of Fractions for 4715/377, 7222/676 is 23/19604.