Highest Common Factor of 6347, 3561 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 6347, 3561 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6347, 3561 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 6347, 3561 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 6347, 3561 is 1.
HCF(6347, 3561) = 1
HCF of 6347, 3561 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6347, 3561 is 1.
Highest Common Factor of 6347,3561 is 1
Step 1: Since 6347 > 3561, we apply the division lemma to 6347 and 3561, to get
6347 = 3561 x 1 + 2786
Step 2: Since the reminder 3561 ≠ 0, we apply division lemma to 2786 and 3561, to get
3561 = 2786 x 1 + 775
Step 3: We consider the new divisor 2786 and the new remainder 775, and apply the division lemma to get
2786 = 775 x 3 + 461
We consider the new divisor 775 and the new remainder 461,and apply the division lemma to get
775 = 461 x 1 + 314
We consider the new divisor 461 and the new remainder 314,and apply the division lemma to get
461 = 314 x 1 + 147
We consider the new divisor 314 and the new remainder 147,and apply the division lemma to get
314 = 147 x 2 + 20
We consider the new divisor 147 and the new remainder 20,and apply the division lemma to get
147 = 20 x 7 + 7
We consider the new divisor 20 and the new remainder 7,and apply the division lemma to get
20 = 7 x 2 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6347 and 3561 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(20,7) = HCF(147,20) = HCF(314,147) = HCF(461,314) = HCF(775,461) = HCF(2786,775) = HCF(3561,2786) = HCF(6347,3561) .
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Frequently Asked Questions on HCF of 6347, 3561 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 6347, 3561?
Answer: HCF of 6347, 3561 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6347, 3561 using Euclid's Algorithm?
Answer: For arbitrary numbers 6347, 3561 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.