Highest Common Factor of 904, 649 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, 649 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 904, 649 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, 649 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, 649 is 1.
HCF(904, 649) = 1
HCF of 904, 649 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, 649 is 1.
Highest Common Factor of 904,649 is 1
Step 1: Since 904 > 649, we apply the division lemma to 904 and 649, to get
904 = 649 x 1 + 255
Step 2: Since the reminder 649 ≠ 0, we apply division lemma to 255 and 649, to get
649 = 255 x 2 + 139
Step 3: We consider the new divisor 255 and the new remainder 139, and apply the division lemma to get
255 = 139 x 1 + 116
We consider the new divisor 139 and the new remainder 116,and apply the division lemma to get
139 = 116 x 1 + 23
We consider the new divisor 116 and the new remainder 23,and apply the division lemma to get
116 = 23 x 5 + 1
We consider the new divisor 23 and the new remainder 1,and apply the division lemma to get
23 = 1 x 23 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 904 and 649 is 1
Notice that 1 = HCF(23,1) = HCF(116,23) = HCF(139,116) = HCF(255,139) = HCF(649,255) = HCF(904,649) .
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Frequently Asked Questions on HCF of 904, 649 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, 649?
Answer: HCF of 904, 649 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 904, 649 using Euclid's Algorithm?
Answer: For arbitrary numbers 904, 649 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.