GCF of 919/377, 709/548
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 919/377, 709/548 i.e 1/206596 easily. The following is the detailed procedure to determine the greatest common factor of fractions 919/377, 709/548.
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 919/377,709/548?
Given fractions are 919/377,709/548
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 919/377,709/548, numerators are 919,709
Denominators are 377,548
The GCF of 919,709 is 1 .
LCM of 377,548 is 206596.
The greatest common factor of 919/377,709/548 = [GCF of 919,709]/[LCM of 377,548]= 1/206596
Therefore, the GCF of 919/377,709/548 is 1/206596.
To find the highest common factor of 919,709, we have to find the factors of both numbers and list the highest common factor.
The factors of 919 are 1, 919
The factors of 709 are 1, 709
The HCF of 919,709 is 1.
Lets's calculate GCF of 919,709
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 919,709 By Matching Biggest Common Factor Method
Now, list down the factors of 919
:1,919
Now, list down the factors of 709
:1,709
Greatest Common Factor
We found the factors 919,709 . The biggest common factor number is the GCF number.
So the greatest common factor 919,709 is 1.
Lets's calculate LCM of 377,548
Given numbers has no common factors except 1. So, there LCM is their product i.e 206596
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/206596
Therefore, the GCF of Fractions 919/377,709/548 is 1/206596
Least Common Multiple of 377,548 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 377,548 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(377,548) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(377,548) x common factors =1 x 1 = 1
LCM(377,548) = ( 377 × 548 ) / 1
LCM(377,548) = 206596 / 1
LCM(377,548) = 206596
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FAQs on GCF of Fractions of 919/377, 709/548
1. What is the HCF of 919,709?
The HCF of 919,709 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 919/377, 709/548?
Answer: GCF of Numerators as per given numbers 919/377, 709/548 is
GCF of Numerators i.e. for 919,709 is 1
LCM of denominators i.e. for 377,548 is 206596.
Thus, GCF of Fractions is 1/206596.Finally, GCF of Fractions for 919/377, 709/548 is 1/206596.