Highest Common Factor of 939, 601, 153, 96 using Euclid's algorithm

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 939, 601, 153, 96 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 939, 601, 153, 96 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.

Consider we have numbers 939, 601, 153, 96 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b

Highest common factor (HCF) of 939, 601, 153, 96 is 1.

HCF(939, 601, 153, 96) = 1

HCF of 939, 601, 153, 96 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 939, 601, 153, 96 is 1.

Highest Common Factor of 939,601,153,96 using Euclid's algorithm

Highest Common Factor of 939,601,153,96 is 1

Step 1: Since 939 > 601, we apply the division lemma to 939 and 601, to get

939 = 601 x 1 + 338

Step 2: Since the reminder 601 ≠ 0, we apply division lemma to 338 and 601, to get

601 = 338 x 1 + 263

Step 3: We consider the new divisor 338 and the new remainder 263, and apply the division lemma to get

338 = 263 x 1 + 75

We consider the new divisor 263 and the new remainder 75,and apply the division lemma to get

263 = 75 x 3 + 38

We consider the new divisor 75 and the new remainder 38,and apply the division lemma to get

75 = 38 x 1 + 37

We consider the new divisor 38 and the new remainder 37,and apply the division lemma to get

38 = 37 x 1 + 1

We consider the new divisor 37 and the new remainder 1,and apply the division lemma to get

37 = 1 x 37 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 939 and 601 is 1

Notice that 1 = HCF(37,1) = HCF(38,37) = HCF(75,38) = HCF(263,75) = HCF(338,263) = HCF(601,338) = HCF(939,601) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 153 > 1, we apply the division lemma to 153 and 1, to get

153 = 1 x 153 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 153 is 1

Notice that 1 = HCF(153,1) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 96 > 1, we apply the division lemma to 96 and 1, to get

96 = 1 x 96 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 96 is 1

Notice that 1 = HCF(96,1) .

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Frequently Asked Questions on HCF of 939, 601, 153, 96 using Euclid's Algorithm

1. What is the Euclid division algorithm?

Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.

2. what is the HCF of 939, 601, 153, 96?

Answer: HCF of 939, 601, 153, 96 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 939, 601, 153, 96 using Euclid's Algorithm?

Answer: For arbitrary numbers 939, 601, 153, 96 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.