GCF of 6948/701, 2701/710
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6948/701, 2701/710 i.e 1/497710 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6948/701, 2701/710.
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 6948/701,2701/710?
Given fractions are 6948/701,2701/710
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 6948/701,2701/710, numerators are 6948,2701
Denominators are 701,710
The GCF of 6948,2701 is 1 .
LCM of 701,710 is 497710.
The greatest common factor of 6948/701,2701/710 = [GCF of 6948,2701]/[LCM of 701,710]= 1/497710
Therefore, the GCF of 6948/701,2701/710 is 1/497710.
To find the highest common factor of 6948,2701, we have to find the factors of both numbers and list the highest common factor.
The factors of 6948 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 193, 386, 579, 772, 1158, 1737, 2316, 3474, 6948
The factors of 2701 are 1, 37, 73, 2701
The HCF of 6948,2701 is 1.
Lets's calculate GCF of 6948,2701
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6948,2701 By Matching Biggest Common Factor Method
Now, list down the factors of 6948
:1,2,3,4,6,9,12,18,36,193,386,579,772,1158,1737,2316,3474,6948
Now, list down the factors of 2701
:1,37,73,2701
Greatest Common Factor
We found the factors 6948,2701 . The biggest common factor number is the GCF number.
So the greatest common factor 6948,2701 is 1.
Lets's calculate LCM of 701,710
Given numbers has no common factors except 1. So, there LCM is their product i.e 497710
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/497710
Therefore, the GCF of Fractions 6948/701,2701/710 is 1/497710
Least Common Multiple of 701,710 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 701,710 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(701,710) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(701,710) x common factors =1 x 1 = 1
LCM(701,710) = ( 701 × 710 ) / 1
LCM(701,710) = 497710 / 1
LCM(701,710) = 497710
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FAQs on GCF of Fractions of 6948/701, 2701/710
1. What is the HCF of 6948,2701?
The HCF of 6948,2701 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 6948/701, 2701/710?
Answer: GCF of Numerators as per given numbers 6948/701, 2701/710 is
GCF of Numerators i.e. for 6948,2701 is 1
LCM of denominators i.e. for 701,710 is 497710.
Thus, GCF of Fractions is 1/497710.Finally, GCF of Fractions for 6948/701, 2701/710 is 1/497710.