Highest Common Factor of 650, 401 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 650, 401 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 650, 401 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 650, 401 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 650, 401 is 1.
HCF(650, 401) = 1
HCF of 650, 401 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 650, 401 is 1.
Highest Common Factor of 650,401 is 1
Step 1: Since 650 > 401, we apply the division lemma to 650 and 401, to get
650 = 401 x 1 + 249
Step 2: Since the reminder 401 ≠ 0, we apply division lemma to 249 and 401, to get
401 = 249 x 1 + 152
Step 3: We consider the new divisor 249 and the new remainder 152, and apply the division lemma to get
249 = 152 x 1 + 97
We consider the new divisor 152 and the new remainder 97,and apply the division lemma to get
152 = 97 x 1 + 55
We consider the new divisor 97 and the new remainder 55,and apply the division lemma to get
97 = 55 x 1 + 42
We consider the new divisor 55 and the new remainder 42,and apply the division lemma to get
55 = 42 x 1 + 13
We consider the new divisor 42 and the new remainder 13,and apply the division lemma to get
42 = 13 x 3 + 3
We consider the new divisor 13 and the new remainder 3,and apply the division lemma to get
13 = 3 x 4 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 650 and 401 is 1
Notice that 1 = HCF(3,1) = HCF(13,3) = HCF(42,13) = HCF(55,42) = HCF(97,55) = HCF(152,97) = HCF(249,152) = HCF(401,249) = HCF(650,401) .
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Frequently Asked Questions on HCF of 650, 401 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 650, 401?
Answer: HCF of 650, 401 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 650, 401 using Euclid's Algorithm?
Answer: For arbitrary numbers 650, 401 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.