GCF of 4217/722, 5707/7597
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4217/722, 5707/7597 i.e 1/5485034 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4217/722, 5707/7597.
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 4217/722,5707/7597?
Given fractions are 4217/722,5707/7597
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 4217/722,5707/7597, numerators are 4217,5707
Denominators are 722,7597
The GCF of 4217,5707 is 1 .
LCM of 722,7597 is 5485034.
The greatest common factor of 4217/722,5707/7597 = [GCF of 4217,5707]/[LCM of 722,7597]= 1/5485034
Therefore, the GCF of 4217/722,5707/7597 is 1/5485034.
To find the highest common factor of 4217,5707, we have to find the factors of both numbers and list the highest common factor.
The factors of 4217 are 1, 4217
The factors of 5707 are 1, 13, 439, 5707
The HCF of 4217,5707 is 1.
Lets's calculate GCF of 4217,5707
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4217,5707 By Matching Biggest Common Factor Method
Now, list down the factors of 4217
:1,4217
Now, list down the factors of 5707
:1,13,439,5707
Greatest Common Factor
We found the factors 4217,5707 . The biggest common factor number is the GCF number.
So the greatest common factor 4217,5707 is 1.
Lets's calculate LCM of 722,7597
Given numbers has no common factors except 1. So, there LCM is their product i.e 5485034
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5485034
Therefore, the GCF of Fractions 4217/722,5707/7597 is 1/5485034
Least Common Multiple of 722,7597 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 722,7597 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(722,7597) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(722,7597) x common factors =1 x 1 = 1
LCM(722,7597) = ( 722 × 7597 ) / 1
LCM(722,7597) = 5485034 / 1
LCM(722,7597) = 5485034
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FAQs on GCF of Fractions of 4217/722, 5707/7597
1. What is the HCF of 4217,5707?
The HCF of 4217,5707 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 4217/722, 5707/7597?
Answer: GCF of Numerators as per given numbers 4217/722, 5707/7597 is
GCF of Numerators i.e. for 4217,5707 is 1
LCM of denominators i.e. for 722,7597 is 5485034.
Thus, GCF of Fractions is 1/5485034.Finally, GCF of Fractions for 4217/722, 5707/7597 is 1/5485034.