GCF of 7127/658, 1358/1002
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7127/658, 1358/1002 i.e 1/329658 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7127/658, 1358/1002.
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 7127/658,1358/1002?
Given fractions are 7127/658,1358/1002
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 7127/658,1358/1002, numerators are 7127,1358
Denominators are 658,1002
The GCF of 7127,1358 is 1 .
LCM of 658,1002 is 329658.
The greatest common factor of 7127/658,1358/1002 = [GCF of 7127,1358]/[LCM of 658,1002]= 1/329658
Therefore, the GCF of 7127/658,1358/1002 is 1/329658.
To find the highest common factor of 7127,1358, we have to find the factors of both numbers and list the highest common factor.
The factors of 7127 are 1, 7127
The factors of 1358 are 1, 2, 7, 14, 97, 194, 679, 1358
The HCF of 7127,1358 is 1.
Lets's calculate GCF of 7127,1358
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7127,1358 By Matching Biggest Common Factor Method
Now, list down the factors of 7127
:1,7127
Now, list down the factors of 1358
:1,2,7,14,97,194,679,1358
Greatest Common Factor
We found the factors 7127,1358 . The biggest common factor number is the GCF number.
So the greatest common factor 7127,1358 is 1.
Lets's calculate LCM of 658,1002
| 2 | 658, 1002 |
| 329, 501 |
∴ So the LCM of the given numbers is 2 x 329 x 501 = 329658
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/329658
Therefore, the GCF of Fractions 7127/658,1358/1002 is 1/329658
Least Common Multiple of 658,1002 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 658,1002 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(658,1002) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(658,1002) x common factors =2 x 1 = 2
LCM(658,1002) = ( 658 × 1002 ) / 2
LCM(658,1002) = 659316 / 2
LCM(658,1002) = 329658
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FAQs on GCF of Fractions of 7127/658, 1358/1002
1. What is the HCF of 7127,1358?
The HCF of 7127,1358 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 7127/658, 1358/1002?
Answer: GCF of Numerators as per given numbers 7127/658, 1358/1002 is
GCF of Numerators i.e. for 7127,1358 is 1
LCM of denominators i.e. for 658,1002 is 329658.
Thus, GCF of Fractions is 1/329658.Finally, GCF of Fractions for 7127/658, 1358/1002 is 1/329658.