How to Find GCF of 923/42, 293/45, 676/70?

GCF of 923/42, 293/45, 676/70

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 923/42, 293/45, 676/70 i.e 1/630 easily. The following is the detailed procedure to determine the greatest common factor of fractions 923/42, 293/45, 676/70.

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 923/42,293/45,676/70?

Given fractions are 923/42,293/45,676/70

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 923/42,293/45,676/70, numerators are 923,293,676

Denominators are 42,45,70

The GCF of 923,293,676 is 1 .

LCM of 42,45,70 is 630.

The greatest common factor of 923/42,293/45,676/70 = [GCF of 923,293,676]/[LCM of 42,45,70]= 1/630

Therefore, the GCF of 923/42,293/45,676/70 is 1/630.

Greatest Common Factor of 923,293,676

To find the highest common factor of 923,293,676, we have to find the factors of both numbers and list the highest common factor.

The factors of 923 are 1, 13, 71, 923

The factors of 293 are 1, 293

The factors of 676 are 1, 2, 4, 13, 26, 52, 169, 338, 676

The HCF of 923,293,676 is 1.

Lets's calculate GCF of 923,293,676

Greatest Common Factor (GCF) of 923,293,676 By Common Division

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

Greatest Common Factor of 923,293,676 By Matching Biggest Common Factor Method

Now, list down the factors of 923

1,13,71,923

Now, list down the factors of 293

1,293

Now, list down the factors of 676

1,2,4,13,26,52,169,338,676

Greatest Common Factor

We found the factors 923,293,676 . The biggest common factor number is the GCF number.
So the greatest common factor 923,293,676 is 1.

Lets's calculate LCM of 42,45,70

Lowest Common Multiple of 42,45,70 using Common Division

2	42, 45, 70
3	21, 45, 35
5	7, 15, 35
7	7, 3, 7
	1, 3, 1

∴ So the LCM of the given numbers is 2 x 3 x 5 x 7 x 1 x 3 x 1 = 630

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/630

Therefore, the GCF of Fractions 923/42,293/45,676/70 is 1/630

Least Common Multiple of 42,45,70 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 42,45,70 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,45,70) = 1

common factors(in case of two or more numbers have common factors) = 210

GCF(42,45,70) x common factors =1 x 210 = 210

LCM(42,45,70) = ( 42 × 45 × 70 ) / 210

LCM(42,45,70) = 132300 / 210

LCM(42,45,70) = 630

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 923/42, 293/45, 676/70

1. What is the HCF of 923,293,676?

The HCF of 923,293,676 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 923/42, 293/45, 676/70?

Answer: GCF of Numerators as per given numbers 923/42, 293/45, 676/70 is

GCF of Numerators i.e. for 923,293,676 is 1

LCM of denominators i.e. for 42,45,70 is 630.

Thus, GCF of Fractions is 1/630.Finally, GCF of Fractions for 923/42, 293/45, 676/70 is 1/630.