GCF of 7075/424, 5414/7042
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7075/424, 5414/7042 i.e 1/1492904 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7075/424, 5414/7042.
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 7075/424,5414/7042?
Given fractions are 7075/424,5414/7042
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 7075/424,5414/7042, numerators are 7075,5414
Denominators are 424,7042
The GCF of 7075,5414 is 1 .
LCM of 424,7042 is 1492904.
The greatest common factor of 7075/424,5414/7042 = [GCF of 7075,5414]/[LCM of 424,7042]= 1/1492904
Therefore, the GCF of 7075/424,5414/7042 is 1/1492904.
To find the highest common factor of 7075,5414, we have to find the factors of both numbers and list the highest common factor.
The factors of 7075 are 1, 5, 25, 283, 1415, 7075
The factors of 5414 are 1, 2, 2707, 5414
The HCF of 7075,5414 is 1.
Lets's calculate GCF of 7075,5414
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7075,5414 By Matching Biggest Common Factor Method
Now, list down the factors of 7075
:1,5,25,283,1415,7075
Now, list down the factors of 5414
:1,2,2707,5414
Greatest Common Factor
We found the factors 7075,5414 . The biggest common factor number is the GCF number.
So the greatest common factor 7075,5414 is 1.
Lets's calculate LCM of 424,7042
| 2 | 424, 7042 |
| 212, 3521 |
∴ So the LCM of the given numbers is 2 x 212 x 3521 = 1492904
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1492904
Therefore, the GCF of Fractions 7075/424,5414/7042 is 1/1492904
Least Common Multiple of 424,7042 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 424,7042 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(424,7042) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(424,7042) x common factors =2 x 1 = 2
LCM(424,7042) = ( 424 × 7042 ) / 2
LCM(424,7042) = 2985808 / 2
LCM(424,7042) = 1492904
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FAQs on GCF of Fractions of 7075/424, 5414/7042
1. What is the HCF of 7075,5414?
The HCF of 7075,5414 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 7075/424, 5414/7042?
Answer: GCF of Numerators as per given numbers 7075/424, 5414/7042 is
GCF of Numerators i.e. for 7075,5414 is 1
LCM of denominators i.e. for 424,7042 is 1492904.
Thus, GCF of Fractions is 1/1492904.Finally, GCF of Fractions for 7075/424, 5414/7042 is 1/1492904.