Highest Common Factor of 738, 614, 953, 154 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 738, 614, 953, 154 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 738, 614, 953, 154 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 738, 614, 953, 154 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 738, 614, 953, 154 is 1.

HCF(738, 614, 953, 154) = 1

HCF of 738, 614, 953, 154 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 738, 614, 953, 154 is 1.

Highest Common Factor of 738,614,953,154 using Euclid's algorithm

Highest Common Factor of 738,614,953,154 is 1

Step 1: Since 738 > 614, we apply the division lemma to 738 and 614, to get

738 = 614 x 1 + 124

Step 2: Since the reminder 614 ≠ 0, we apply division lemma to 124 and 614, to get

614 = 124 x 4 + 118

Step 3: We consider the new divisor 124 and the new remainder 118, and apply the division lemma to get

124 = 118 x 1 + 6

We consider the new divisor 118 and the new remainder 6,and apply the division lemma to get

118 = 6 x 19 + 4

We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get

6 = 4 x 1 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 738 and 614 is 2

Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(118,6) = HCF(124,118) = HCF(614,124) = HCF(738,614) .

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

Step 1: Since 953 > 2, we apply the division lemma to 953 and 2, to get

953 = 2 x 476 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2 and 953 is 1

Notice that 1 = HCF(2,1) = HCF(953,2) .

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

Step 1: Since 154 > 1, we apply the division lemma to 154 and 1, to get

154 = 1 x 154 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 154 is 1

Notice that 1 = HCF(154,1) .

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Frequently Asked Questions on HCF of 738, 614, 953, 154 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 738, 614, 953, 154?

Answer: HCF of 738, 614, 953, 154 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 738, 614, 953, 154 using Euclid's Algorithm?

Answer: For arbitrary numbers 738, 614, 953, 154 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.