Highest Common Factor of 401, 663, 845, 661 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 401, 663, 845, 661 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 401, 663, 845, 661 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 401, 663, 845, 661 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 401, 663, 845, 661 is 1.
HCF(401, 663, 845, 661) = 1
HCF of 401, 663, 845, 661 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 401, 663, 845, 661 is 1.
Highest Common Factor of 401,663,845,661 is 1
Step 1: Since 663 > 401, we apply the division lemma to 663 and 401, to get
663 = 401 x 1 + 262
Step 2: Since the reminder 401 ≠ 0, we apply division lemma to 262 and 401, to get
401 = 262 x 1 + 139
Step 3: We consider the new divisor 262 and the new remainder 139, and apply the division lemma to get
262 = 139 x 1 + 123
We consider the new divisor 139 and the new remainder 123,and apply the division lemma to get
139 = 123 x 1 + 16
We consider the new divisor 123 and the new remainder 16,and apply the division lemma to get
123 = 16 x 7 + 11
We consider the new divisor 16 and the new remainder 11,and apply the division lemma to get
16 = 11 x 1 + 5
We consider the new divisor 11 and the new remainder 5,and apply the division lemma to get
11 = 5 x 2 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 401 and 663 is 1
Notice that 1 = HCF(5,1) = HCF(11,5) = HCF(16,11) = HCF(123,16) = HCF(139,123) = HCF(262,139) = HCF(401,262) = HCF(663,401) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 845 > 1, we apply the division lemma to 845 and 1, to get
845 = 1 x 845 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 845 is 1
Notice that 1 = HCF(845,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 661 > 1, we apply the division lemma to 661 and 1, to get
661 = 1 x 661 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 661 is 1
Notice that 1 = HCF(661,1) .
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Frequently Asked Questions on HCF of 401, 663, 845, 661 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 401, 663, 845, 661?
Answer: HCF of 401, 663, 845, 661 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 401, 663, 845, 661 using Euclid's Algorithm?
Answer: For arbitrary numbers 401, 663, 845, 661 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.