Highest Common Factor of 2297, 3551 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 2297, 3551 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2297, 3551 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 2297, 3551 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 2297, 3551 is 1.
HCF(2297, 3551) = 1
HCF of 2297, 3551 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2297, 3551 is 1.
Highest Common Factor of 2297,3551 is 1
Step 1: Since 3551 > 2297, we apply the division lemma to 3551 and 2297, to get
3551 = 2297 x 1 + 1254
Step 2: Since the reminder 2297 ≠ 0, we apply division lemma to 1254 and 2297, to get
2297 = 1254 x 1 + 1043
Step 3: We consider the new divisor 1254 and the new remainder 1043, and apply the division lemma to get
1254 = 1043 x 1 + 211
We consider the new divisor 1043 and the new remainder 211,and apply the division lemma to get
1043 = 211 x 4 + 199
We consider the new divisor 211 and the new remainder 199,and apply the division lemma to get
211 = 199 x 1 + 12
We consider the new divisor 199 and the new remainder 12,and apply the division lemma to get
199 = 12 x 16 + 7
We consider the new divisor 12 and the new remainder 7,and apply the division lemma to get
12 = 7 x 1 + 5
We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get
7 = 5 x 1 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 2297 and 3551 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(12,7) = HCF(199,12) = HCF(211,199) = HCF(1043,211) = HCF(1254,1043) = HCF(2297,1254) = HCF(3551,2297) .
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Frequently Asked Questions on HCF of 2297, 3551 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 2297, 3551?
Answer: HCF of 2297, 3551 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2297, 3551 using Euclid's Algorithm?
Answer: For arbitrary numbers 2297, 3551 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.