Highest Common Factor of 561, 791, 507, 915 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, 791, 507, 915 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 561, 791, 507, 915 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, 791, 507, 915 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, 791, 507, 915 is 1.
HCF(561, 791, 507, 915) = 1
HCF of 561, 791, 507, 915 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, 791, 507, 915 is 1.
Highest Common Factor of 561,791,507,915 is 1
Step 1: Since 791 > 561, we apply the division lemma to 791 and 561, to get
791 = 561 x 1 + 230
Step 2: Since the reminder 561 ≠ 0, we apply division lemma to 230 and 561, to get
561 = 230 x 2 + 101
Step 3: We consider the new divisor 230 and the new remainder 101, and apply the division lemma to get
230 = 101 x 2 + 28
We consider the new divisor 101 and the new remainder 28,and apply the division lemma to get
101 = 28 x 3 + 17
We consider the new divisor 28 and the new remainder 17,and apply the division lemma to get
28 = 17 x 1 + 11
We consider the new divisor 17 and the new remainder 11,and apply the division lemma to get
17 = 11 x 1 + 6
We consider the new divisor 11 and the new remainder 6,and apply the division lemma to get
11 = 6 x 1 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 561 and 791 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(11,6) = HCF(17,11) = HCF(28,17) = HCF(101,28) = HCF(230,101) = HCF(561,230) = HCF(791,561) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 507 > 1, we apply the division lemma to 507 and 1, to get
507 = 1 x 507 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 507 is 1
Notice that 1 = HCF(507,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 915 > 1, we apply the division lemma to 915 and 1, to get
915 = 1 x 915 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 915 is 1
Notice that 1 = HCF(915,1) .
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Frequently Asked Questions on HCF of 561, 791, 507, 915 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, 791, 507, 915?
Answer: HCF of 561, 791, 507, 915 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 561, 791, 507, 915 using Euclid's Algorithm?
Answer: For arbitrary numbers 561, 791, 507, 915 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.