Highest Common Factor of 7621, 6193 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 7621, 6193 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7621, 6193 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 7621, 6193 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 7621, 6193 is 1.
HCF(7621, 6193) = 1
HCF of 7621, 6193 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7621, 6193 is 1.
Highest Common Factor of 7621,6193 is 1
Step 1: Since 7621 > 6193, we apply the division lemma to 7621 and 6193, to get
7621 = 6193 x 1 + 1428
Step 2: Since the reminder 6193 ≠ 0, we apply division lemma to 1428 and 6193, to get
6193 = 1428 x 4 + 481
Step 3: We consider the new divisor 1428 and the new remainder 481, and apply the division lemma to get
1428 = 481 x 2 + 466
We consider the new divisor 481 and the new remainder 466,and apply the division lemma to get
481 = 466 x 1 + 15
We consider the new divisor 466 and the new remainder 15,and apply the division lemma to get
466 = 15 x 31 + 1
We consider the new divisor 15 and the new remainder 1,and apply the division lemma to get
15 = 1 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7621 and 6193 is 1
Notice that 1 = HCF(15,1) = HCF(466,15) = HCF(481,466) = HCF(1428,481) = HCF(6193,1428) = HCF(7621,6193) .
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Frequently Asked Questions on HCF of 7621, 6193 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 7621, 6193?
Answer: HCF of 7621, 6193 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7621, 6193 using Euclid's Algorithm?
Answer: For arbitrary numbers 7621, 6193 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.