Highest Common Factor of 6148, 5215 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 6148, 5215 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6148, 5215 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 6148, 5215 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 6148, 5215 is 1.
HCF(6148, 5215) = 1
HCF of 6148, 5215 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6148, 5215 is 1.
Highest Common Factor of 6148,5215 is 1
Step 1: Since 6148 > 5215, we apply the division lemma to 6148 and 5215, to get
6148 = 5215 x 1 + 933
Step 2: Since the reminder 5215 ≠ 0, we apply division lemma to 933 and 5215, to get
5215 = 933 x 5 + 550
Step 3: We consider the new divisor 933 and the new remainder 550, and apply the division lemma to get
933 = 550 x 1 + 383
We consider the new divisor 550 and the new remainder 383,and apply the division lemma to get
550 = 383 x 1 + 167
We consider the new divisor 383 and the new remainder 167,and apply the division lemma to get
383 = 167 x 2 + 49
We consider the new divisor 167 and the new remainder 49,and apply the division lemma to get
167 = 49 x 3 + 20
We consider the new divisor 49 and the new remainder 20,and apply the division lemma to get
49 = 20 x 2 + 9
We consider the new divisor 20 and the new remainder 9,and apply the division lemma to get
20 = 9 x 2 + 2
We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get
9 = 2 x 4 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6148 and 5215 is 1
Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(20,9) = HCF(49,20) = HCF(167,49) = HCF(383,167) = HCF(550,383) = HCF(933,550) = HCF(5215,933) = HCF(6148,5215) .
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Frequently Asked Questions on HCF of 6148, 5215 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 6148, 5215?
Answer: HCF of 6148, 5215 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6148, 5215 using Euclid's Algorithm?
Answer: For arbitrary numbers 6148, 5215 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
