Highest Common Factor of 908, 521, 886 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, 521, 886 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 908, 521, 886 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 908, 521, 886 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, 521, 886 is 1.
HCF(908, 521, 886) = 1
HCF of 908, 521, 886 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, 521, 886 is 1.
Highest Common Factor of 908,521,886 is 1
Step 1: Since 908 > 521, we apply the division lemma to 908 and 521, to get
908 = 521 x 1 + 387
Step 2: Since the reminder 521 ≠ 0, we apply division lemma to 387 and 521, to get
521 = 387 x 1 + 134
Step 3: We consider the new divisor 387 and the new remainder 134, and apply the division lemma to get
387 = 134 x 2 + 119
We consider the new divisor 134 and the new remainder 119,and apply the division lemma to get
134 = 119 x 1 + 15
We consider the new divisor 119 and the new remainder 15,and apply the division lemma to get
119 = 15 x 7 + 14
We consider the new divisor 15 and the new remainder 14,and apply the division lemma to get
15 = 14 x 1 + 1
We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get
14 = 1 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 908 and 521 is 1
Notice that 1 = HCF(14,1) = HCF(15,14) = HCF(119,15) = HCF(134,119) = HCF(387,134) = HCF(521,387) = HCF(908,521) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 886 > 1, we apply the division lemma to 886 and 1, to get
886 = 1 x 886 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 886 is 1
Notice that 1 = HCF(886,1) .
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Frequently Asked Questions on HCF of 908, 521, 886 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, 521, 886?
Answer: HCF of 908, 521, 886 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 908, 521, 886 using Euclid's Algorithm?
Answer: For arbitrary numbers 908, 521, 886 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.