Highest Common Factor of 1561, 5526 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 1561, 5526 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1561, 5526 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 1561, 5526 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 1561, 5526 is 1.
HCF(1561, 5526) = 1
HCF of 1561, 5526 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1561, 5526 is 1.
Highest Common Factor of 1561,5526 is 1
Step 1: Since 5526 > 1561, we apply the division lemma to 5526 and 1561, to get
5526 = 1561 x 3 + 843
Step 2: Since the reminder 1561 ≠ 0, we apply division lemma to 843 and 1561, to get
1561 = 843 x 1 + 718
Step 3: We consider the new divisor 843 and the new remainder 718, and apply the division lemma to get
843 = 718 x 1 + 125
We consider the new divisor 718 and the new remainder 125,and apply the division lemma to get
718 = 125 x 5 + 93
We consider the new divisor 125 and the new remainder 93,and apply the division lemma to get
125 = 93 x 1 + 32
We consider the new divisor 93 and the new remainder 32,and apply the division lemma to get
93 = 32 x 2 + 29
We consider the new divisor 32 and the new remainder 29,and apply the division lemma to get
32 = 29 x 1 + 3
We consider the new divisor 29 and the new remainder 3,and apply the division lemma to get
29 = 3 x 9 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 1561 and 5526 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(29,3) = HCF(32,29) = HCF(93,32) = HCF(125,93) = HCF(718,125) = HCF(843,718) = HCF(1561,843) = HCF(5526,1561) .
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Frequently Asked Questions on HCF of 1561, 5526 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 1561, 5526?
Answer: HCF of 1561, 5526 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1561, 5526 using Euclid's Algorithm?
Answer: For arbitrary numbers 1561, 5526 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.