GCF of 7607/821, 7671/740
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7607/821, 7671/740 i.e 1/607540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7607/821, 7671/740.
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 7607/821,7671/740?
Given fractions are 7607/821,7671/740
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 7607/821,7671/740, numerators are 7607,7671
Denominators are 821,740
The GCF of 7607,7671 is 1 .
LCM of 821,740 is 607540.
The greatest common factor of 7607/821,7671/740 = [GCF of 7607,7671]/[LCM of 821,740]= 1/607540
Therefore, the GCF of 7607/821,7671/740 is 1/607540.
To find the highest common factor of 7607,7671, we have to find the factors of both numbers and list the highest common factor.
The factors of 7607 are 1, 7607
The factors of 7671 are 1, 3, 2557, 7671
The HCF of 7607,7671 is 1.
Lets's calculate GCF of 7607,7671
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7607,7671 By Matching Biggest Common Factor Method
Now, list down the factors of 7607
:1,7607
Now, list down the factors of 7671
:1,3,2557,7671
Greatest Common Factor
We found the factors 7607,7671 . The biggest common factor number is the GCF number.
So the greatest common factor 7607,7671 is 1.
Lets's calculate LCM of 821,740
Given numbers has no common factors except 1. So, there LCM is their product i.e 607540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/607540
Therefore, the GCF of Fractions 7607/821,7671/740 is 1/607540
Least Common Multiple of 821,740 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 821,740 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(821,740) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(821,740) x common factors =1 x 1 = 1
LCM(821,740) = ( 821 × 740 ) / 1
LCM(821,740) = 607540 / 1
LCM(821,740) = 607540
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FAQs on GCF of Fractions of 7607/821, 7671/740
1. What is the HCF of 7607,7671?
The HCF of 7607,7671 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 7607/821, 7671/740?
Answer: GCF of Numerators as per given numbers 7607/821, 7671/740 is
GCF of Numerators i.e. for 7607,7671 is 1
LCM of denominators i.e. for 821,740 is 607540.
Thus, GCF of Fractions is 1/607540.Finally, GCF of Fractions for 7607/821, 7671/740 is 1/607540.