Highest Common Factor of 738, 469, 562, 238 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, 469, 562, 238 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 738, 469, 562, 238 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, 469, 562, 238 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, 469, 562, 238 is 1.
HCF(738, 469, 562, 238) = 1
HCF of 738, 469, 562, 238 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 738, 469, 562, 238 is 1.
Highest Common Factor of 738,469,562,238 is 1
Step 1: Since 738 > 469, we apply the division lemma to 738 and 469, to get
738 = 469 x 1 + 269
Step 2: Since the reminder 469 ≠ 0, we apply division lemma to 269 and 469, to get
469 = 269 x 1 + 200
Step 3: We consider the new divisor 269 and the new remainder 200, and apply the division lemma to get
269 = 200 x 1 + 69
We consider the new divisor 200 and the new remainder 69,and apply the division lemma to get
200 = 69 x 2 + 62
We consider the new divisor 69 and the new remainder 62,and apply the division lemma to get
69 = 62 x 1 + 7
We consider the new divisor 62 and the new remainder 7,and apply the division lemma to get
62 = 7 x 8 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 738 and 469 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(62,7) = HCF(69,62) = HCF(200,69) = HCF(269,200) = HCF(469,269) = HCF(738,469) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 562 > 1, we apply the division lemma to 562 and 1, to get
562 = 1 x 562 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 562 is 1
Notice that 1 = HCF(562,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 238 > 1, we apply the division lemma to 238 and 1, to get
238 = 1 x 238 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 238 is 1
Notice that 1 = HCF(238,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 738, 469, 562, 238 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, 469, 562, 238?
Answer: HCF of 738, 469, 562, 238 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 738, 469, 562, 238 using Euclid's Algorithm?
Answer: For arbitrary numbers 738, 469, 562, 238 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.