Highest Common Factor of 908, 1441 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, 1441 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 908, 1441 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, 1441 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, 1441 is 1.
HCF(908, 1441) = 1
HCF of 908, 1441 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, 1441 is 1.
Highest Common Factor of 908,1441 is 1
Step 1: Since 1441 > 908, we apply the division lemma to 1441 and 908, to get
1441 = 908 x 1 + 533
Step 2: Since the reminder 908 ≠ 0, we apply division lemma to 533 and 908, to get
908 = 533 x 1 + 375
Step 3: We consider the new divisor 533 and the new remainder 375, and apply the division lemma to get
533 = 375 x 1 + 158
We consider the new divisor 375 and the new remainder 158,and apply the division lemma to get
375 = 158 x 2 + 59
We consider the new divisor 158 and the new remainder 59,and apply the division lemma to get
158 = 59 x 2 + 40
We consider the new divisor 59 and the new remainder 40,and apply the division lemma to get
59 = 40 x 1 + 19
We consider the new divisor 40 and the new remainder 19,and apply the division lemma to get
40 = 19 x 2 + 2
We consider the new divisor 19 and the new remainder 2,and apply the division lemma to get
19 = 2 x 9 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 908 and 1441 is 1
Notice that 1 = HCF(2,1) = HCF(19,2) = HCF(40,19) = HCF(59,40) = HCF(158,59) = HCF(375,158) = HCF(533,375) = HCF(908,533) = HCF(1441,908) .
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Frequently Asked Questions on HCF of 908, 1441 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, 1441?
Answer: HCF of 908, 1441 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 908, 1441 using Euclid's Algorithm?
Answer: For arbitrary numbers 908, 1441 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
