How to Find GCF of 3763/160, 3888/1972?

GCF of 3763/160, 3888/1972

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 3763/160, 3888/1972 i.e 1/78880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3763/160, 3888/1972.

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 3763/160,3888/1972?

Given fractions are 3763/160,3888/1972

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 3763/160,3888/1972, numerators are 3763,3888

Denominators are 160,1972

The GCF of 3763,3888 is 1 .

LCM of 160,1972 is 78880.

The greatest common factor of 3763/160,3888/1972 = [GCF of 3763,3888]/[LCM of 160,1972]= 1/78880

Therefore, the GCF of 3763/160,3888/1972 is 1/78880.

Greatest Common Factor of 3763,3888

To find the highest common factor of 3763,3888, we have to find the factors of both numbers and list the highest common factor.

The factors of 3763 are 1, 53, 71, 3763

The factors of 3888 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 81, 108, 144, 162, 216, 243, 324, 432, 486, 648, 972, 1296, 1944, 3888

The HCF of 3763,3888 is 1.

Lets's calculate GCF of 3763,3888

Greatest Common Factor (GCF) of 3763,3888 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 3763,3888 By Matching Biggest Common Factor Method

Now, list down the factors of 3763

1,53,71,3763

Now, list down the factors of 3888

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,81,108,144,162,216,243,324,432,486,648,972,1296,1944,3888

Greatest Common Factor

We found the factors 3763,3888 . The biggest common factor number is the GCF number.
So the greatest common factor 3763,3888 is 1.

Lets's calculate LCM of 160,1972

Lowest Common Multiple of 160,1972 using Common Division

2	160, 1972
2	80, 986
	40, 493

∴ So the LCM of the given numbers is 2 x 2 x 40 x 493 = 78880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/78880

Therefore, the GCF of Fractions 3763/160,3888/1972 is 1/78880

Least Common Multiple of 160,1972 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 160,1972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(160,1972) = 4

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

GCF(160,1972) x common factors =4 x 1 = 4

LCM(160,1972) = ( 160 × 1972 ) / 4

LCM(160,1972) = 315520 / 4

LCM(160,1972) = 78880

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FAQs on GCF of Fractions of 3763/160, 3888/1972

1. What is the HCF of 3763,3888?

The HCF of 3763,3888 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 3763/160, 3888/1972?

Answer: GCF of Numerators as per given numbers 3763/160, 3888/1972 is

GCF of Numerators i.e. for 3763,3888 is 1

LCM of denominators i.e. for 160,1972 is 78880.

Thus, GCF of Fractions is 1/78880.Finally, GCF of Fractions for 3763/160, 3888/1972 is 1/78880.