GCF of 1142/770, 7913/7641
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1142/770, 7913/7641 i.e 1/5883570 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1142/770, 7913/7641.
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 1142/770,7913/7641?
Given fractions are 1142/770,7913/7641
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 1142/770,7913/7641, numerators are 1142,7913
Denominators are 770,7641
The GCF of 1142,7913 is 1 .
LCM of 770,7641 is 5883570.
The greatest common factor of 1142/770,7913/7641 = [GCF of 1142,7913]/[LCM of 770,7641]= 1/5883570
Therefore, the GCF of 1142/770,7913/7641 is 1/5883570.
To find the highest common factor of 1142,7913, we have to find the factors of both numbers and list the highest common factor.
The factors of 1142 are 1, 2, 571, 1142
The factors of 7913 are 1, 41, 193, 7913
The HCF of 1142,7913 is 1.
Lets's calculate GCF of 1142,7913
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1142,7913 By Matching Biggest Common Factor Method
Now, list down the factors of 1142
:1,2,571,1142
Now, list down the factors of 7913
:1,41,193,7913
Greatest Common Factor
We found the factors 1142,7913 . The biggest common factor number is the GCF number.
So the greatest common factor 1142,7913 is 1.
Lets's calculate LCM of 770,7641
Given numbers has no common factors except 1. So, there LCM is their product i.e 5883570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5883570
Therefore, the GCF of Fractions 1142/770,7913/7641 is 1/5883570
Least Common Multiple of 770,7641 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 770,7641 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(770,7641) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(770,7641) x common factors =1 x 1 = 1
LCM(770,7641) = ( 770 × 7641 ) / 1
LCM(770,7641) = 5883570 / 1
LCM(770,7641) = 5883570
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FAQs on GCF of Fractions of 1142/770, 7913/7641
1. What is the HCF of 1142,7913?
The HCF of 1142,7913 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 1142/770, 7913/7641?
Answer: GCF of Numerators as per given numbers 1142/770, 7913/7641 is
GCF of Numerators i.e. for 1142,7913 is 1
LCM of denominators i.e. for 770,7641 is 5883570.
Thus, GCF of Fractions is 1/5883570.Finally, GCF of Fractions for 1142/770, 7913/7641 is 1/5883570.