Highest Common Factor of 3651, 5036 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 3651, 5036 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3651, 5036 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 3651, 5036 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 3651, 5036 is 1.
HCF(3651, 5036) = 1
HCF of 3651, 5036 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3651, 5036 is 1.
Highest Common Factor of 3651,5036 is 1
Step 1: Since 5036 > 3651, we apply the division lemma to 5036 and 3651, to get
5036 = 3651 x 1 + 1385
Step 2: Since the reminder 3651 ≠ 0, we apply division lemma to 1385 and 3651, to get
3651 = 1385 x 2 + 881
Step 3: We consider the new divisor 1385 and the new remainder 881, and apply the division lemma to get
1385 = 881 x 1 + 504
We consider the new divisor 881 and the new remainder 504,and apply the division lemma to get
881 = 504 x 1 + 377
We consider the new divisor 504 and the new remainder 377,and apply the division lemma to get
504 = 377 x 1 + 127
We consider the new divisor 377 and the new remainder 127,and apply the division lemma to get
377 = 127 x 2 + 123
We consider the new divisor 127 and the new remainder 123,and apply the division lemma to get
127 = 123 x 1 + 4
We consider the new divisor 123 and the new remainder 4,and apply the division lemma to get
123 = 4 x 30 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 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 3651 and 5036 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(123,4) = HCF(127,123) = HCF(377,127) = HCF(504,377) = HCF(881,504) = HCF(1385,881) = HCF(3651,1385) = HCF(5036,3651) .
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Frequently Asked Questions on HCF of 3651, 5036 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 3651, 5036?
Answer: HCF of 3651, 5036 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3651, 5036 using Euclid's Algorithm?
Answer: For arbitrary numbers 3651, 5036 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
