Highest Common Factor of 561, 707, 962 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, 707, 962 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 561, 707, 962 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, 707, 962 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, 707, 962 is 1.
HCF(561, 707, 962) = 1
HCF of 561, 707, 962 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, 707, 962 is 1.
Highest Common Factor of 561,707,962 is 1
Step 1: Since 707 > 561, we apply the division lemma to 707 and 561, to get
707 = 561 x 1 + 146
Step 2: Since the reminder 561 ≠ 0, we apply division lemma to 146 and 561, to get
561 = 146 x 3 + 123
Step 3: We consider the new divisor 146 and the new remainder 123, and apply the division lemma to get
146 = 123 x 1 + 23
We consider the new divisor 123 and the new remainder 23,and apply the division lemma to get
123 = 23 x 5 + 8
We consider the new divisor 23 and the new remainder 8,and apply the division lemma to get
23 = 8 x 2 + 7
We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get
8 = 7 x 1 + 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 561 and 707 is 1
Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(23,8) = HCF(123,23) = HCF(146,123) = HCF(561,146) = HCF(707,561) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 962 > 1, we apply the division lemma to 962 and 1, to get
962 = 1 x 962 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 962 is 1
Notice that 1 = HCF(962,1) .
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Frequently Asked Questions on HCF of 561, 707, 962 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, 707, 962?
Answer: HCF of 561, 707, 962 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 561, 707, 962 using Euclid's Algorithm?
Answer: For arbitrary numbers 561, 707, 962 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.