Highest Common Factor of 904, 9251 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 904, 9251 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 904, 9251 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 904, 9251 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 904, 9251 is 1.
HCF(904, 9251) = 1
HCF of 904, 9251 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 904, 9251 is 1.
Highest Common Factor of 904,9251 is 1
Step 1: Since 9251 > 904, we apply the division lemma to 9251 and 904, to get
9251 = 904 x 10 + 211
Step 2: Since the reminder 904 ≠ 0, we apply division lemma to 211 and 904, to get
904 = 211 x 4 + 60
Step 3: We consider the new divisor 211 and the new remainder 60, and apply the division lemma to get
211 = 60 x 3 + 31
We consider the new divisor 60 and the new remainder 31,and apply the division lemma to get
60 = 31 x 1 + 29
We consider the new divisor 31 and the new remainder 29,and apply the division lemma to get
31 = 29 x 1 + 2
We consider the new divisor 29 and the new remainder 2,and apply the division lemma to get
29 = 2 x 14 + 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 904 and 9251 is 1
Notice that 1 = HCF(2,1) = HCF(29,2) = HCF(31,29) = HCF(60,31) = HCF(211,60) = HCF(904,211) = HCF(9251,904) .
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Frequently Asked Questions on HCF of 904, 9251 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 904, 9251?
Answer: HCF of 904, 9251 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 904, 9251 using Euclid's Algorithm?
Answer: For arbitrary numbers 904, 9251 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.