Highest Common Factor of 2345, 5611 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 2345, 5611 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2345, 5611 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 2345, 5611 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 2345, 5611 is 1.
HCF(2345, 5611) = 1
HCF of 2345, 5611 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2345, 5611 is 1.
Highest Common Factor of 2345,5611 is 1
Step 1: Since 5611 > 2345, we apply the division lemma to 5611 and 2345, to get
5611 = 2345 x 2 + 921
Step 2: Since the reminder 2345 ≠ 0, we apply division lemma to 921 and 2345, to get
2345 = 921 x 2 + 503
Step 3: We consider the new divisor 921 and the new remainder 503, and apply the division lemma to get
921 = 503 x 1 + 418
We consider the new divisor 503 and the new remainder 418,and apply the division lemma to get
503 = 418 x 1 + 85
We consider the new divisor 418 and the new remainder 85,and apply the division lemma to get
418 = 85 x 4 + 78
We consider the new divisor 85 and the new remainder 78,and apply the division lemma to get
85 = 78 x 1 + 7
We consider the new divisor 78 and the new remainder 7,and apply the division lemma to get
78 = 7 x 11 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2345 and 5611 is 1
Notice that 1 = HCF(7,1) = HCF(78,7) = HCF(85,78) = HCF(418,85) = HCF(503,418) = HCF(921,503) = HCF(2345,921) = HCF(5611,2345) .
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Frequently Asked Questions on HCF of 2345, 5611 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 2345, 5611?
Answer: HCF of 2345, 5611 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2345, 5611 using Euclid's Algorithm?
Answer: For arbitrary numbers 2345, 5611 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
