Highest Common Factor of 603, 238, 74 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 603, 238, 74 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 603, 238, 74 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 603, 238, 74 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 603, 238, 74 is 1.
HCF(603, 238, 74) = 1
HCF of 603, 238, 74 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 603, 238, 74 is 1.
Highest Common Factor of 603,238,74 is 1
Step 1: Since 603 > 238, we apply the division lemma to 603 and 238, to get
603 = 238 x 2 + 127
Step 2: Since the reminder 238 ≠ 0, we apply division lemma to 127 and 238, to get
238 = 127 x 1 + 111
Step 3: We consider the new divisor 127 and the new remainder 111, and apply the division lemma to get
127 = 111 x 1 + 16
We consider the new divisor 111 and the new remainder 16,and apply the division lemma to get
111 = 16 x 6 + 15
We consider the new divisor 16 and the new remainder 15,and apply the division lemma to get
16 = 15 x 1 + 1
We consider the new divisor 15 and the new remainder 1,and apply the division lemma to get
15 = 1 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 603 and 238 is 1
Notice that 1 = HCF(15,1) = HCF(16,15) = HCF(111,16) = HCF(127,111) = HCF(238,127) = HCF(603,238) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 74 > 1, we apply the division lemma to 74 and 1, to get
74 = 1 x 74 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 74 is 1
Notice that 1 = HCF(74,1) .
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Frequently Asked Questions on HCF of 603, 238, 74 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 603, 238, 74?
Answer: HCF of 603, 238, 74 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 603, 238, 74 using Euclid's Algorithm?
Answer: For arbitrary numbers 603, 238, 74 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.