GCF of 8975/229, 7607/777
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8975/229, 7607/777 i.e 1/177933 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8975/229, 7607/777.
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 8975/229,7607/777?
Given fractions are 8975/229,7607/777
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 8975/229,7607/777, numerators are 8975,7607
Denominators are 229,777
The GCF of 8975,7607 is 1 .
LCM of 229,777 is 177933.
The greatest common factor of 8975/229,7607/777 = [GCF of 8975,7607]/[LCM of 229,777]= 1/177933
Therefore, the GCF of 8975/229,7607/777 is 1/177933.
To find the highest common factor of 8975,7607, we have to find the factors of both numbers and list the highest common factor.
The factors of 8975 are 1, 5, 25, 359, 1795, 8975
The factors of 7607 are 1, 7607
The HCF of 8975,7607 is 1.
Lets's calculate GCF of 8975,7607
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8975,7607 By Matching Biggest Common Factor Method
Now, list down the factors of 8975
:1,5,25,359,1795,8975
Now, list down the factors of 7607
:1,7607
Greatest Common Factor
We found the factors 8975,7607 . The biggest common factor number is the GCF number.
So the greatest common factor 8975,7607 is 1.
Lets's calculate LCM of 229,777
Given numbers has no common factors except 1. So, there LCM is their product i.e 177933
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/177933
Therefore, the GCF of Fractions 8975/229,7607/777 is 1/177933
Least Common Multiple of 229,777 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 229,777 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(229,777) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(229,777) x common factors =1 x 1 = 1
LCM(229,777) = ( 229 × 777 ) / 1
LCM(229,777) = 177933 / 1
LCM(229,777) = 177933
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FAQs on GCF of Fractions of 8975/229, 7607/777
1. What is the HCF of 8975,7607?
The HCF of 8975,7607 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 8975/229, 7607/777?
Answer: GCF of Numerators as per given numbers 8975/229, 7607/777 is
GCF of Numerators i.e. for 8975,7607 is 1
LCM of denominators i.e. for 229,777 is 177933.
Thus, GCF of Fractions is 1/177933.Finally, GCF of Fractions for 8975/229, 7607/777 is 1/177933.