Highest Common Factor of 2248, 6155 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 2248, 6155 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2248, 6155 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 2248, 6155 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 2248, 6155 is 1.
HCF(2248, 6155) = 1
HCF of 2248, 6155 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2248, 6155 is 1.
Highest Common Factor of 2248,6155 is 1
Step 1: Since 6155 > 2248, we apply the division lemma to 6155 and 2248, to get
6155 = 2248 x 2 + 1659
Step 2: Since the reminder 2248 ≠ 0, we apply division lemma to 1659 and 2248, to get
2248 = 1659 x 1 + 589
Step 3: We consider the new divisor 1659 and the new remainder 589, and apply the division lemma to get
1659 = 589 x 2 + 481
We consider the new divisor 589 and the new remainder 481,and apply the division lemma to get
589 = 481 x 1 + 108
We consider the new divisor 481 and the new remainder 108,and apply the division lemma to get
481 = 108 x 4 + 49
We consider the new divisor 108 and the new remainder 49,and apply the division lemma to get
108 = 49 x 2 + 10
We consider the new divisor 49 and the new remainder 10,and apply the division lemma to get
49 = 10 x 4 + 9
We consider the new divisor 10 and the new remainder 9,and apply the division lemma to get
10 = 9 x 1 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2248 and 6155 is 1
Notice that 1 = HCF(9,1) = HCF(10,9) = HCF(49,10) = HCF(108,49) = HCF(481,108) = HCF(589,481) = HCF(1659,589) = HCF(2248,1659) = HCF(6155,2248) .
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Frequently Asked Questions on HCF of 2248, 6155 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 2248, 6155?
Answer: HCF of 2248, 6155 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2248, 6155 using Euclid's Algorithm?
Answer: For arbitrary numbers 2248, 6155 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.