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GCF of 1784/845, 6972/886

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 1784/845, 6972/886 i.e 4/748670 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1784/845, 6972/886.

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 1784/845,6972/886?

Given fractions are 1784/845,6972/886

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 1784/845,6972/886, numerators are 1784,6972

Denominators are 845,886

The GCF of 1784,6972 is 4 .

LCM of 845,886 is 748670.

The greatest common factor of 1784/845,6972/886 = [GCF of 1784,6972]/[LCM of 845,886]= 4/748670

Therefore, the GCF of 1784/845,6972/886 is 4/748670.

Greatest Common Factor of 1784,6972

To find the highest common factor of 1784,6972, we have to find the factors of both numbers and list the highest common factor.

The factors of 1784 are 1, 2, 4, 8, 223, 446, 892, 1784

The factors of 6972 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 83, 84, 166, 249, 332, 498, 581, 996, 1162, 1743, 2324, 3486, 6972

The HCF of 1784,6972 is 4.

Lets's calculate GCF of 1784,6972

Greatest Common Factor (GCF) of 1784,6972 By Common Division

2 1784, 6972
2 892, 3486
446, 1743

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 1784,6972 By Matching Biggest Common Factor Method

Greatest Common Factor of 1784,6972 By Matching Biggest Common Factor Method

Now, list down the factors of 1784

:

1,2,4,8,223,446,892,1784

Now, list down the factors of 6972

:

1,2,3,4,6,7,12,14,21,28,42,83,84,166,249,332,498,581,996,1162,1743,2324,3486,6972

Greatest Common Factor

We found the factors 1784,6972 . The biggest common factor number is the GCF number.
So the greatest common factor 1784,6972 is 4.


Lets's calculate LCM of 845,886

Lowest Common Multiple of 845,886 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 748670

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/748670

Therefore, the GCF of Fractions 1784/845,6972/886 is 4/748670

Least Common Multiple of 845,886 with GCF Formula

Least Common Multiple of 845,886 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 845,886 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(845,886) = 1

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

GCF(845,886) x common factors =1 x 1 = 1

LCM(845,886) = ( 845 × 886 ) / 1

LCM(845,886) = 748670 / 1

LCM(845,886) = 748670


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 1784/845, 6972/886

1. What is the HCF of 1784,6972?

The HCF of 1784,6972 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 1784/845, 6972/886?

Answer: GCF of Numerators as per given numbers 1784/845, 6972/886 is

GCF of Numerators i.e. for 1784,6972 is 4

LCM of denominators i.e. for 845,886 is 748670.

Thus, GCF of Fractions is 4/748670.Finally, GCF of Fractions for 1784/845, 6972/886 is 4/748670.