Highest Common Factor of 1387, 6441 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 1387, 6441 i.e. 19 the largest integer that leaves a remainder zero for all numbers.
HCF of 1387, 6441 is 19 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 1387, 6441 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 1387, 6441 is 19.
HCF(1387, 6441) = 19
HCF of 1387, 6441 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1387, 6441 is 19.
Highest Common Factor of 1387,6441 is 19
Step 1: Since 6441 > 1387, we apply the division lemma to 6441 and 1387, to get
6441 = 1387 x 4 + 893
Step 2: Since the reminder 1387 ≠ 0, we apply division lemma to 893 and 1387, to get
1387 = 893 x 1 + 494
Step 3: We consider the new divisor 893 and the new remainder 494, and apply the division lemma to get
893 = 494 x 1 + 399
We consider the new divisor 494 and the new remainder 399,and apply the division lemma to get
494 = 399 x 1 + 95
We consider the new divisor 399 and the new remainder 95,and apply the division lemma to get
399 = 95 x 4 + 19
We consider the new divisor 95 and the new remainder 19,and apply the division lemma to get
95 = 19 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 19, the HCF of 1387 and 6441 is 19
Notice that 19 = HCF(95,19) = HCF(399,95) = HCF(494,399) = HCF(893,494) = HCF(1387,893) = HCF(6441,1387) .
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Frequently Asked Questions on HCF of 1387, 6441 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 1387, 6441?
Answer: HCF of 1387, 6441 is 19 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1387, 6441 using Euclid's Algorithm?
Answer: For arbitrary numbers 1387, 6441 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.