Highest Common Factor of 561, 773 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 561, 773 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 561, 773 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 561, 773 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 561, 773 is 1.
HCF(561, 773) = 1
HCF of 561, 773 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 561, 773 is 1.
Highest Common Factor of 561,773 is 1
Step 1: Since 773 > 561, we apply the division lemma to 773 and 561, to get
773 = 561 x 1 + 212
Step 2: Since the reminder 561 ≠ 0, we apply division lemma to 212 and 561, to get
561 = 212 x 2 + 137
Step 3: We consider the new divisor 212 and the new remainder 137, and apply the division lemma to get
212 = 137 x 1 + 75
We consider the new divisor 137 and the new remainder 75,and apply the division lemma to get
137 = 75 x 1 + 62
We consider the new divisor 75 and the new remainder 62,and apply the division lemma to get
75 = 62 x 1 + 13
We consider the new divisor 62 and the new remainder 13,and apply the division lemma to get
62 = 13 x 4 + 10
We consider the new divisor 13 and the new remainder 10,and apply the division lemma to get
13 = 10 x 1 + 3
We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get
10 = 3 x 3 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 561 and 773 is 1
Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(13,10) = HCF(62,13) = HCF(75,62) = HCF(137,75) = HCF(212,137) = HCF(561,212) = HCF(773,561) .
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Frequently Asked Questions on HCF of 561, 773 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 561, 773?
Answer: HCF of 561, 773 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 561, 773 using Euclid's Algorithm?
Answer: For arbitrary numbers 561, 773 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.