GCF of 7597/951, 2283/8132
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7597/951, 2283/8132 i.e 1/7733532 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7597/951, 2283/8132.
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 7597/951,2283/8132?
Given fractions are 7597/951,2283/8132
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 7597/951,2283/8132, numerators are 7597,2283
Denominators are 951,8132
The GCF of 7597,2283 is 1 .
LCM of 951,8132 is 7733532.
The greatest common factor of 7597/951,2283/8132 = [GCF of 7597,2283]/[LCM of 951,8132]= 1/7733532
Therefore, the GCF of 7597/951,2283/8132 is 1/7733532.
To find the highest common factor of 7597,2283, we have to find the factors of both numbers and list the highest common factor.
The factors of 7597 are 1, 71, 107, 7597
The factors of 2283 are 1, 3, 761, 2283
The HCF of 7597,2283 is 1.
Lets's calculate GCF of 7597,2283
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7597,2283 By Matching Biggest Common Factor Method
Now, list down the factors of 7597
:1,71,107,7597
Now, list down the factors of 2283
:1,3,761,2283
Greatest Common Factor
We found the factors 7597,2283 . The biggest common factor number is the GCF number.
So the greatest common factor 7597,2283 is 1.
Lets's calculate LCM of 951,8132
Given numbers has no common factors except 1. So, there LCM is their product i.e 7733532
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7733532
Therefore, the GCF of Fractions 7597/951,2283/8132 is 1/7733532
Least Common Multiple of 951,8132 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 951,8132 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(951,8132) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(951,8132) x common factors =1 x 1 = 1
LCM(951,8132) = ( 951 × 8132 ) / 1
LCM(951,8132) = 7733532 / 1
LCM(951,8132) = 7733532
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FAQs on GCF of Fractions of 7597/951, 2283/8132
1. What is the HCF of 7597,2283?
The HCF of 7597,2283 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 7597/951, 2283/8132?
Answer: GCF of Numerators as per given numbers 7597/951, 2283/8132 is
GCF of Numerators i.e. for 7597,2283 is 1
LCM of denominators i.e. for 951,8132 is 7733532.
Thus, GCF of Fractions is 1/7733532.Finally, GCF of Fractions for 7597/951, 2283/8132 is 1/7733532.