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 436, 752, 269 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 436, 752, 269 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 436, 752, 269 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 436, 752, 269 is 1.
HCF(436, 752, 269) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 436, 752, 269 is 1.
Step 1: Since 752 > 436, we apply the division lemma to 752 and 436, to get
752 = 436 x 1 + 316
Step 2: Since the reminder 436 ≠ 0, we apply division lemma to 316 and 436, to get
436 = 316 x 1 + 120
Step 3: We consider the new divisor 316 and the new remainder 120, and apply the division lemma to get
316 = 120 x 2 + 76
We consider the new divisor 120 and the new remainder 76,and apply the division lemma to get
120 = 76 x 1 + 44
We consider the new divisor 76 and the new remainder 44,and apply the division lemma to get
76 = 44 x 1 + 32
We consider the new divisor 44 and the new remainder 32,and apply the division lemma to get
44 = 32 x 1 + 12
We consider the new divisor 32 and the new remainder 12,and apply the division lemma to get
32 = 12 x 2 + 8
We consider the new divisor 12 and the new remainder 8,and apply the division lemma to get
12 = 8 x 1 + 4
We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get
8 = 4 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 436 and 752 is 4
Notice that 4 = HCF(8,4) = HCF(12,8) = HCF(32,12) = HCF(44,32) = HCF(76,44) = HCF(120,76) = HCF(316,120) = HCF(436,316) = HCF(752,436) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 269 > 4, we apply the division lemma to 269 and 4, to get
269 = 4 x 67 + 1
Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 1 and 4, to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4 and 269 is 1
Notice that 1 = HCF(4,1) = HCF(269,4) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 436, 752, 269?
Answer: HCF of 436, 752, 269 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 436, 752, 269 using Euclid's Algorithm?
Answer: For arbitrary numbers 436, 752, 269 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.