GCF of 747/313, 7840/690
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 747/313, 7840/690 i.e 1/215970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 747/313, 7840/690.
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 747/313,7840/690?
Given fractions are 747/313,7840/690
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 747/313,7840/690, numerators are 747,7840
Denominators are 313,690
The GCF of 747,7840 is 1 .
LCM of 313,690 is 215970.
The greatest common factor of 747/313,7840/690 = [GCF of 747,7840]/[LCM of 313,690]= 1/215970
Therefore, the GCF of 747/313,7840/690 is 1/215970.
To find the highest common factor of 747,7840, we have to find the factors of both numbers and list the highest common factor.
The factors of 747 are 1, 3, 9, 83, 249, 747
The factors of 7840 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 49, 56, 70, 80, 98, 112, 140, 160, 196, 224, 245, 280, 392, 490, 560, 784, 980, 1120, 1568, 1960, 3920, 7840
The HCF of 747,7840 is 1.
Lets's calculate GCF of 747,7840
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 747,7840 By Matching Biggest Common Factor Method
Now, list down the factors of 747
:1,3,9,83,249,747
Now, list down the factors of 7840
:1,2,4,5,7,8,10,14,16,20,28,32,35,40,49,56,70,80,98,112,140,160,196,224,245,280,392,490,560,784,980,1120,1568,1960,3920,7840
Greatest Common Factor
We found the factors 747,7840 . The biggest common factor number is the GCF number.
So the greatest common factor 747,7840 is 1.
Lets's calculate LCM of 313,690
Given numbers has no common factors except 1. So, there LCM is their product i.e 215970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/215970
Therefore, the GCF of Fractions 747/313,7840/690 is 1/215970
Least Common Multiple of 313,690 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 313,690 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(313,690) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(313,690) x common factors =1 x 1 = 1
LCM(313,690) = ( 313 × 690 ) / 1
LCM(313,690) = 215970 / 1
LCM(313,690) = 215970
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FAQs on GCF of Fractions of 747/313, 7840/690
1. What is the HCF of 747,7840?
The HCF of 747,7840 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 747/313, 7840/690?
Answer: GCF of Numerators as per given numbers 747/313, 7840/690 is
GCF of Numerators i.e. for 747,7840 is 1
LCM of denominators i.e. for 313,690 is 215970.
Thus, GCF of Fractions is 1/215970.Finally, GCF of Fractions for 747/313, 7840/690 is 1/215970.