GCF of 3134/643, 5545/7840
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3134/643, 5545/7840 i.e 1/5041120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3134/643, 5545/7840.
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 3134/643,5545/7840?
Given fractions are 3134/643,5545/7840
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 3134/643,5545/7840, numerators are 3134,5545
Denominators are 643,7840
The GCF of 3134,5545 is 1 .
LCM of 643,7840 is 5041120.
The greatest common factor of 3134/643,5545/7840 = [GCF of 3134,5545]/[LCM of 643,7840]= 1/5041120
Therefore, the GCF of 3134/643,5545/7840 is 1/5041120.
To find the highest common factor of 3134,5545, we have to find the factors of both numbers and list the highest common factor.
The factors of 3134 are 1, 2, 1567, 3134
The factors of 5545 are 1, 5, 1109, 5545
The HCF of 3134,5545 is 1.
Lets's calculate GCF of 3134,5545
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3134,5545 By Matching Biggest Common Factor Method
Now, list down the factors of 3134
:1,2,1567,3134
Now, list down the factors of 5545
:1,5,1109,5545
Greatest Common Factor
We found the factors 3134,5545 . The biggest common factor number is the GCF number.
So the greatest common factor 3134,5545 is 1.
Lets's calculate LCM of 643,7840
Given numbers has no common factors except 1. So, there LCM is their product i.e 5041120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5041120
Therefore, the GCF of Fractions 3134/643,5545/7840 is 1/5041120
Least Common Multiple of 643,7840 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 643,7840 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(643,7840) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(643,7840) x common factors =1 x 1 = 1
LCM(643,7840) = ( 643 × 7840 ) / 1
LCM(643,7840) = 5041120 / 1
LCM(643,7840) = 5041120
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FAQs on GCF of Fractions of 3134/643, 5545/7840
1. What is the HCF of 3134,5545?
The HCF of 3134,5545 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 3134/643, 5545/7840?
Answer: GCF of Numerators as per given numbers 3134/643, 5545/7840 is
GCF of Numerators i.e. for 3134,5545 is 1
LCM of denominators i.e. for 643,7840 is 5041120.
Thus, GCF of Fractions is 1/5041120.Finally, GCF of Fractions for 3134/643, 5545/7840 is 1/5041120.