Highest Common Factor of 1621, 6103 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 1621, 6103 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1621, 6103 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 1621, 6103 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 1621, 6103 is 1.
HCF(1621, 6103) = 1
HCF of 1621, 6103 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1621, 6103 is 1.
Highest Common Factor of 1621,6103 is 1
Step 1: Since 6103 > 1621, we apply the division lemma to 6103 and 1621, to get
6103 = 1621 x 3 + 1240
Step 2: Since the reminder 1621 ≠ 0, we apply division lemma to 1240 and 1621, to get
1621 = 1240 x 1 + 381
Step 3: We consider the new divisor 1240 and the new remainder 381, and apply the division lemma to get
1240 = 381 x 3 + 97
We consider the new divisor 381 and the new remainder 97,and apply the division lemma to get
381 = 97 x 3 + 90
We consider the new divisor 97 and the new remainder 90,and apply the division lemma to get
97 = 90 x 1 + 7
We consider the new divisor 90 and the new remainder 7,and apply the division lemma to get
90 = 7 x 12 + 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 1621 and 6103 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(90,7) = HCF(97,90) = HCF(381,97) = HCF(1240,381) = HCF(1621,1240) = HCF(6103,1621) .
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Frequently Asked Questions on HCF of 1621, 6103 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 1621, 6103?
Answer: HCF of 1621, 6103 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1621, 6103 using Euclid's Algorithm?
Answer: For arbitrary numbers 1621, 6103 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.