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GCF of 1946/380, 2496/1346

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 1946/380, 2496/1346 i.e 2/255740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1946/380, 2496/1346.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 1946/380,2496/1346?

Given fractions are 1946/380,2496/1346

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 1946/380,2496/1346, numerators are 1946,2496

Denominators are 380,1346

The GCF of 1946,2496 is 2 .

LCM of 380,1346 is 255740.

The greatest common factor of 1946/380,2496/1346 = [GCF of 1946,2496]/[LCM of 380,1346]= 2/255740

Therefore, the GCF of 1946/380,2496/1346 is 2/255740.

Greatest Common Factor of 1946,2496

To find the highest common factor of 1946,2496, we have to find the factors of both numbers and list the highest common factor.

The factors of 1946 are 1, 2, 7, 14, 139, 278, 973, 1946

The factors of 2496 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 64, 78, 96, 104, 156, 192, 208, 312, 416, 624, 832, 1248, 2496

The HCF of 1946,2496 is 2.

Lets's calculate GCF of 1946,2496

Greatest Common Factor (GCF) of 1946,2496 By Common Division

2 1946, 2496
973, 1248

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 1946,2496 By Matching Biggest Common Factor Method

Greatest Common Factor of 1946,2496 By Matching Biggest Common Factor Method

Now, list down the factors of 1946

:

1,2,7,14,139,278,973,1946

Now, list down the factors of 2496

:

1,2,3,4,6,8,12,13,16,24,26,32,39,48,52,64,78,96,104,156,192,208,312,416,624,832,1248,2496

Greatest Common Factor

We found the factors 1946,2496 . The biggest common factor number is the GCF number.
So the greatest common factor 1946,2496 is 2.


Lets's calculate LCM of 380,1346

Lowest Common Multiple of 380,1346 using Common Division

2 380, 1346
190, 673

∴ So the LCM of the given numbers is 2 x 190 x 673 = 255740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/255740

Therefore, the GCF of Fractions 1946/380,2496/1346 is 2/255740

Least Common Multiple of 380,1346 with GCF Formula

Least Common Multiple of 380,1346 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 380,1346 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(380,1346) = 2

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

GCF(380,1346) x common factors =2 x 1 = 2

LCM(380,1346) = ( 380 × 1346 ) / 2

LCM(380,1346) = 511480 / 2

LCM(380,1346) = 255740


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 1946/380, 2496/1346

1. What is the HCF of 1946,2496?

The HCF of 1946,2496 is 2

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 1946/380, 2496/1346?

Answer: GCF of Numerators as per given numbers 1946/380, 2496/1346 is

GCF of Numerators i.e. for 1946,2496 is 2

LCM of denominators i.e. for 380,1346 is 255740.

Thus, GCF of Fractions is 2/255740.Finally, GCF of Fractions for 1946/380, 2496/1346 is 2/255740.