GCF of 1978/719, 1132/503
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1978/719, 1132/503 i.e 2/361657 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1978/719, 1132/503.
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 1978/719,1132/503?
Given fractions are 1978/719,1132/503
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 1978/719,1132/503, numerators are 1978,1132
Denominators are 719,503
The GCF of 1978,1132 is 2 .
LCM of 719,503 is 361657.
The greatest common factor of 1978/719,1132/503 = [GCF of 1978,1132]/[LCM of 719,503]= 2/361657
Therefore, the GCF of 1978/719,1132/503 is 2/361657.
To find the highest common factor of 1978,1132, we have to find the factors of both numbers and list the highest common factor.
The factors of 1978 are 1, 2, 23, 43, 46, 86, 989, 1978
The factors of 1132 are 1, 2, 4, 283, 566, 1132
The HCF of 1978,1132 is 2.
Lets's calculate GCF of 1978,1132
| 2 | 1978, 1132 |
| 989, 566 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1978,1132 By Matching Biggest Common Factor Method
Now, list down the factors of 1978
:1,2,23,43,46,86,989,1978
Now, list down the factors of 1132
:1,2,4,283,566,1132
Greatest Common Factor
We found the factors 1978,1132 . The biggest common factor number is the GCF number.
So the greatest common factor 1978,1132 is 2.
Lets's calculate LCM of 719,503
Given numbers has no common factors except 1. So, there LCM is their product i.e 361657
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/361657
Therefore, the GCF of Fractions 1978/719,1132/503 is 2/361657
Least Common Multiple of 719,503 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 719,503 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(719,503) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(719,503) x common factors =1 x 1 = 1
LCM(719,503) = ( 719 × 503 ) / 1
LCM(719,503) = 361657 / 1
LCM(719,503) = 361657
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FAQs on GCF of Fractions of 1978/719, 1132/503
1. What is the HCF of 1978,1132?
The HCF of 1978,1132 is 2
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 1978/719, 1132/503?
Answer: GCF of Numerators as per given numbers 1978/719, 1132/503 is
GCF of Numerators i.e. for 1978,1132 is 2
LCM of denominators i.e. for 719,503 is 361657.
Thus, GCF of Fractions is 2/361657.Finally, GCF of Fractions for 1978/719, 1132/503 is 2/361657.