How to Find GCF of 1292/538, 8268/945?

GCF of 1292/538, 8268/945

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 1292/538, 8268/945 i.e 4/508410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1292/538, 8268/945.

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 1292/538,8268/945?

Given fractions are 1292/538,8268/945

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 1292/538,8268/945, numerators are 1292,8268

Denominators are 538,945

The GCF of 1292,8268 is 4 .

LCM of 538,945 is 508410.

The greatest common factor of 1292/538,8268/945 = [GCF of 1292,8268]/[LCM of 538,945]= 4/508410

Therefore, the GCF of 1292/538,8268/945 is 4/508410.

Greatest Common Factor of 1292,8268

To find the highest common factor of 1292,8268, we have to find the factors of both numbers and list the highest common factor.

The factors of 1292 are 1, 2, 4, 17, 19, 34, 38, 68, 76, 323, 646, 1292

The factors of 8268 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 53, 78, 106, 156, 159, 212, 318, 636, 689, 1378, 2067, 2756, 4134, 8268

The HCF of 1292,8268 is 4.

Lets's calculate GCF of 1292,8268

Greatest Common Factor (GCF) of 1292,8268 By Common Division

2	1292, 8268
2	646, 4134
	323, 2067

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

Greatest Common Factor of 1292,8268 By Matching Biggest Common Factor Method

Now, list down the factors of 1292

1,2,4,17,19,34,38,68,76,323,646,1292

Now, list down the factors of 8268

1,2,3,4,6,12,13,26,39,52,53,78,106,156,159,212,318,636,689,1378,2067,2756,4134,8268

Greatest Common Factor

We found the factors 1292,8268 . The biggest common factor number is the GCF number.
So the greatest common factor 1292,8268 is 4.

Lets's calculate LCM of 538,945

Lowest Common Multiple of 538,945 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 508410

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/508410

Therefore, the GCF of Fractions 1292/538,8268/945 is 4/508410

Least Common Multiple of 538,945 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 538,945 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(538,945) = 1

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

GCF(538,945) x common factors =1 x 1 = 1

LCM(538,945) = ( 538 × 945 ) / 1

LCM(538,945) = 508410 / 1

LCM(538,945) = 508410

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FAQs on GCF of Fractions of 1292/538, 8268/945

1. What is the HCF of 1292,8268?

The HCF of 1292,8268 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 1292/538, 8268/945?

Answer: GCF of Numerators as per given numbers 1292/538, 8268/945 is

GCF of Numerators i.e. for 1292,8268 is 4

LCM of denominators i.e. for 538,945 is 508410.

Thus, GCF of Fractions is 4/508410.Finally, GCF of Fractions for 1292/538, 8268/945 is 4/508410.