Highest Common Factor of 908, 3236 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 908, 3236 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 908, 3236 is 4 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 908, 3236 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 908, 3236 is 4.
HCF(908, 3236) = 4
HCF of 908, 3236 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 908, 3236 is 4.
Highest Common Factor of 908,3236 is 4
Step 1: Since 3236 > 908, we apply the division lemma to 3236 and 908, to get
3236 = 908 x 3 + 512
Step 2: Since the reminder 908 ≠ 0, we apply division lemma to 512 and 908, to get
908 = 512 x 1 + 396
Step 3: We consider the new divisor 512 and the new remainder 396, and apply the division lemma to get
512 = 396 x 1 + 116
We consider the new divisor 396 and the new remainder 116,and apply the division lemma to get
396 = 116 x 3 + 48
We consider the new divisor 116 and the new remainder 48,and apply the division lemma to get
116 = 48 x 2 + 20
We consider the new divisor 48 and the new remainder 20,and apply the division lemma to get
48 = 20 x 2 + 8
We consider the new divisor 20 and the new remainder 8,and apply the division lemma to get
20 = 8 x 2 + 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 908 and 3236 is 4
Notice that 4 = HCF(8,4) = HCF(20,8) = HCF(48,20) = HCF(116,48) = HCF(396,116) = HCF(512,396) = HCF(908,512) = HCF(3236,908) .
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Frequently Asked Questions on HCF of 908, 3236 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 908, 3236?
Answer: HCF of 908, 3236 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 908, 3236 using Euclid's Algorithm?
Answer: For arbitrary numbers 908, 3236 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.