GCF of 7350/392, 5320/4715
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7350/392, 5320/4715 i.e 70/1848280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7350/392, 5320/4715.
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 7350/392,5320/4715?
Given fractions are 7350/392,5320/4715
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 7350/392,5320/4715, numerators are 7350,5320
Denominators are 392,4715
The GCF of 7350,5320 is 70 .
LCM of 392,4715 is 1848280.
The greatest common factor of 7350/392,5320/4715 = [GCF of 7350,5320]/[LCM of 392,4715]= 70/1848280
Therefore, the GCF of 7350/392,5320/4715 is 70/1848280.
To find the highest common factor of 7350,5320, we have to find the factors of both numbers and list the highest common factor.
The factors of 7350 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 49, 50, 70, 75, 98, 105, 147, 150, 175, 210, 245, 294, 350, 490, 525, 735, 1050, 1225, 1470, 2450, 3675, 7350
The factors of 5320 are 1, 2, 4, 5, 7, 8, 10, 14, 19, 20, 28, 35, 38, 40, 56, 70, 76, 95, 133, 140, 152, 190, 266, 280, 380, 532, 665, 760, 1064, 1330, 2660, 5320
The HCF of 7350,5320 is 70.
Lets's calculate GCF of 7350,5320
| 2 | 7350, 5320 |
| 5 | 3675, 2660 |
| 7 | 735, 532 |
| 105, 76 |
∴ So the GCF of the given numbers is 2 x 5 x 7 = 70
Greatest Common Factor of 7350,5320 By Matching Biggest Common Factor Method
Now, list down the factors of 7350
:1,2,3,5,6,7,10,14,15,21,25,30,35,42,49,50,70,75,98,105,147,150,175,210,245,294,350,490,525,735,1050,1225,1470,2450,3675,7350
Now, list down the factors of 5320
:1,2,4,5,7,8,10,14,19,20,28,35,38,40,56,70,76,95,133,140,152,190,266,280,380,532,665,760,1064,1330,2660,5320
Greatest Common Factor
We found the factors 7350,5320 . The biggest common factor number is the GCF number.
So the greatest common factor 7350,5320 is 70.
Lets's calculate LCM of 392,4715
Given numbers has no common factors except 1. So, there LCM is their product i.e 1848280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 70/1848280
Therefore, the GCF of Fractions 7350/392,5320/4715 is 70/1848280
Least Common Multiple of 392,4715 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 392,4715 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(392,4715) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(392,4715) x common factors =1 x 1 = 1
LCM(392,4715) = ( 392 × 4715 ) / 1
LCM(392,4715) = 1848280 / 1
LCM(392,4715) = 1848280
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FAQs on GCF of Fractions of 7350/392, 5320/4715
1. What is the HCF of 7350,5320?
The HCF of 7350,5320 is 70
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 7350/392, 5320/4715?
Answer: GCF of Numerators as per given numbers 7350/392, 5320/4715 is
GCF of Numerators i.e. for 7350,5320 is 70
LCM of denominators i.e. for 392,4715 is 1848280.
Thus, GCF of Fractions is 70/1848280.Finally, GCF of Fractions for 7350/392, 5320/4715 is 70/1848280.