How to Find GCF of 4693/922, 4680/370?

GCF of 4693/922, 4680/370

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 4693/922, 4680/370 i.e 13/170570 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4693/922, 4680/370.

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 4693/922,4680/370?

Given fractions are 4693/922,4680/370

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 4693/922,4680/370, numerators are 4693,4680

Denominators are 922,370

The GCF of 4693,4680 is 13 .

LCM of 922,370 is 170570.

The greatest common factor of 4693/922,4680/370 = [GCF of 4693,4680]/[LCM of 922,370]= 13/170570

Therefore, the GCF of 4693/922,4680/370 is 13/170570.

Greatest Common Factor of 4693,4680

To find the highest common factor of 4693,4680, we have to find the factors of both numbers and list the highest common factor.

The factors of 4693 are 1, 13, 19, 247, 361, 4693

The factors of 4680 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 18, 20, 24, 26, 30, 36, 39, 40, 45, 52, 60, 65, 72, 78, 90, 104, 117, 120, 130, 156, 180, 195, 234, 260, 312, 360, 390, 468, 520, 585, 780, 936, 1170, 1560, 2340, 4680

The HCF of 4693,4680 is 13.

Lets's calculate GCF of 4693,4680

Greatest Common Factor (GCF) of 4693,4680 By Common Division

13	4693, 4680
	361, 360

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 4693,4680 By Matching Biggest Common Factor Method

Now, list down the factors of 4693

1,13,19,247,361,4693

Now, list down the factors of 4680

1,2,3,4,5,6,8,9,10,12,13,15,18,20,24,26,30,36,39,40,45,52,60,65,72,78,90,104,117,120,130,156,180,195,234,260,312,360,390,468,520,585,780,936,1170,1560,2340,4680

Greatest Common Factor

We found the factors 4693,4680 . The biggest common factor number is the GCF number.
So the greatest common factor 4693,4680 is 13.

Lets's calculate LCM of 922,370

Lowest Common Multiple of 922,370 using Common Division

2	922, 370
	461, 185

∴ So the LCM of the given numbers is 2 x 461 x 185 = 170570

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/170570

Therefore, the GCF of Fractions 4693/922,4680/370 is 13/170570

Least Common Multiple of 922,370 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 922,370 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(922,370) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(922,370) x common factors =2 x 1 = 2

LCM(922,370) = ( 922 × 370 ) / 2

LCM(922,370) = 341140 / 2

LCM(922,370) = 170570

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4693/922, 4680/370

1. What is the HCF of 4693,4680?

The HCF of 4693,4680 is 13

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 4693/922, 4680/370?

Answer: GCF of Numerators as per given numbers 4693/922, 4680/370 is

GCF of Numerators i.e. for 4693,4680 is 13

LCM of denominators i.e. for 922,370 is 170570.

Thus, GCF of Fractions is 13/170570.Finally, GCF of Fractions for 4693/922, 4680/370 is 13/170570.