GCF of 7312/701, 7380/820
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7312/701, 7380/820 i.e 4/574820 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7312/701, 7380/820.
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 7312/701,7380/820?
Given fractions are 7312/701,7380/820
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 7312/701,7380/820, numerators are 7312,7380
Denominators are 701,820
The GCF of 7312,7380 is 4 .
LCM of 701,820 is 574820.
The greatest common factor of 7312/701,7380/820 = [GCF of 7312,7380]/[LCM of 701,820]= 4/574820
Therefore, the GCF of 7312/701,7380/820 is 4/574820.
To find the highest common factor of 7312,7380, we have to find the factors of both numbers and list the highest common factor.
The factors of 7312 are 1, 2, 4, 8, 16, 457, 914, 1828, 3656, 7312
The factors of 7380 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 41, 45, 60, 82, 90, 123, 164, 180, 205, 246, 369, 410, 492, 615, 738, 820, 1230, 1476, 1845, 2460, 3690, 7380
The HCF of 7312,7380 is 4.
Lets's calculate GCF of 7312,7380
| 2 | 7312, 7380 |
| 2 | 3656, 3690 |
| 1828, 1845 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 7312,7380 By Matching Biggest Common Factor Method
Now, list down the factors of 7312
:1,2,4,8,16,457,914,1828,3656,7312
Now, list down the factors of 7380
:1,2,3,4,5,6,9,10,12,15,18,20,30,36,41,45,60,82,90,123,164,180,205,246,369,410,492,615,738,820,1230,1476,1845,2460,3690,7380
Greatest Common Factor
We found the factors 7312,7380 . The biggest common factor number is the GCF number.
So the greatest common factor 7312,7380 is 4.
Lets's calculate LCM of 701,820
Given numbers has no common factors except 1. So, there LCM is their product i.e 574820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/574820
Therefore, the GCF of Fractions 7312/701,7380/820 is 4/574820
Least Common Multiple of 701,820 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 701,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(701,820) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(701,820) x common factors =1 x 1 = 1
LCM(701,820) = ( 701 × 820 ) / 1
LCM(701,820) = 574820 / 1
LCM(701,820) = 574820
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7312/701, 7380/820
1. What is the HCF of 7312,7380?
The HCF of 7312,7380 is 4
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 7312/701, 7380/820?
Answer: GCF of Numerators as per given numbers 7312/701, 7380/820 is
GCF of Numerators i.e. for 7312,7380 is 4
LCM of denominators i.e. for 701,820 is 574820.
Thus, GCF of Fractions is 4/574820.Finally, GCF of Fractions for 7312/701, 7380/820 is 4/574820.