GCF of 5245/779, 5928/4126
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5245/779, 5928/4126 i.e 1/3214154 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5245/779, 5928/4126.
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 5245/779,5928/4126?
Given fractions are 5245/779,5928/4126
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 5245/779,5928/4126, numerators are 5245,5928
Denominators are 779,4126
The GCF of 5245,5928 is 1 .
LCM of 779,4126 is 3214154.
The greatest common factor of 5245/779,5928/4126 = [GCF of 5245,5928]/[LCM of 779,4126]= 1/3214154
Therefore, the GCF of 5245/779,5928/4126 is 1/3214154.
To find the highest common factor of 5245,5928, we have to find the factors of both numbers and list the highest common factor.
The factors of 5245 are 1, 5, 1049, 5245
The factors of 5928 are 1, 2, 3, 4, 6, 8, 12, 13, 19, 24, 26, 38, 39, 52, 57, 76, 78, 104, 114, 152, 156, 228, 247, 312, 456, 494, 741, 988, 1482, 1976, 2964, 5928
The HCF of 5245,5928 is 1.
Lets's calculate GCF of 5245,5928
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5245,5928 By Matching Biggest Common Factor Method
Now, list down the factors of 5245
:1,5,1049,5245
Now, list down the factors of 5928
:1,2,3,4,6,8,12,13,19,24,26,38,39,52,57,76,78,104,114,152,156,228,247,312,456,494,741,988,1482,1976,2964,5928
Greatest Common Factor
We found the factors 5245,5928 . The biggest common factor number is the GCF number.
So the greatest common factor 5245,5928 is 1.
Lets's calculate LCM of 779,4126
Given numbers has no common factors except 1. So, there LCM is their product i.e 3214154
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3214154
Therefore, the GCF of Fractions 5245/779,5928/4126 is 1/3214154
Least Common Multiple of 779,4126 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 779,4126 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(779,4126) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(779,4126) x common factors =1 x 1 = 1
LCM(779,4126) = ( 779 × 4126 ) / 1
LCM(779,4126) = 3214154 / 1
LCM(779,4126) = 3214154
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FAQs on GCF of Fractions of 5245/779, 5928/4126
1. What is the HCF of 5245,5928?
The HCF of 5245,5928 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 5245/779, 5928/4126?
Answer: GCF of Numerators as per given numbers 5245/779, 5928/4126 is
GCF of Numerators i.e. for 5245,5928 is 1
LCM of denominators i.e. for 779,4126 is 3214154.
Thus, GCF of Fractions is 1/3214154.Finally, GCF of Fractions for 5245/779, 5928/4126 is 1/3214154.