GCF of 49/89, 392/45, 995/316
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 49/89, 392/45, 995/316 i.e 1/1265580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 49/89, 392/45, 995/316.
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 49/89,392/45,995/316?
Given fractions are 49/89,392/45,995/316
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 49/89,392/45,995/316, numerators are 49,392,995
Denominators are 89,45,316
The GCF of 49,392,995 is 1 .
LCM of 89,45,316 is 1265580.
The greatest common factor of 49/89,392/45,995/316 = [GCF of 49,392,995]/[LCM of 89,45,316]= 1/1265580
Therefore, the GCF of 49/89,392/45,995/316 is 1/1265580.
To find the highest common factor of 49,392,995, we have to find the factors of both numbers and list the highest common factor.
The factors of 49 are 1, 7, 49
The factors of 392 are 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
The factors of 995 are 1, 5, 199, 995
The HCF of 49,392,995 is 1.
Lets's calculate GCF of 49,392,995
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 49,392,995 By Matching Biggest Common Factor Method
Now, list down the factors of 49
:1,7,49
Now, list down the factors of 392
:1,2,4,7,8,14,28,49,56,98,196,392
Now, list down the factors of 995
:1,5,199,995
Greatest Common Factor
We found the factors 49,392,995 . The biggest common factor number is the GCF number.
So the greatest common factor 49,392,995 is 1.
Lets's calculate LCM of 89,45,316
Given numbers has no common factors except 1. So, there LCM is their product i.e 1265580
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1265580
Therefore, the GCF of Fractions 49/89,392/45,995/316 is 1/1265580
Least Common Multiple of 89,45,316 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 89,45,316 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,45,316) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(89,45,316) x common factors =1 x 1 = 1
LCM(89,45,316) = ( 89 × 45 × 316 ) / 1
LCM(89,45,316) = 1265580 / 1
LCM(89,45,316) = 1265580
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FAQs on GCF of Fractions of 49/89, 392/45, 995/316
1. What is the HCF of 49,392,995?
The HCF of 49,392,995 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 49/89, 392/45, 995/316?
Answer: GCF of Numerators as per given numbers 49/89, 392/45, 995/316 is
GCF of Numerators i.e. for 49,392,995 is 1
LCM of denominators i.e. for 89,45,316 is 1265580.
Thus, GCF of Fractions is 1/1265580.Finally, GCF of Fractions for 49/89, 392/45, 995/316 is 1/1265580.