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 583, 922, 762, 57 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 583, 922, 762, 57 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 583, 922, 762, 57 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 583, 922, 762, 57 is 1.
HCF(583, 922, 762, 57) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 583, 922, 762, 57 is 1.
Step 1: Since 922 > 583, we apply the division lemma to 922 and 583, to get
922 = 583 x 1 + 339
Step 2: Since the reminder 583 ≠ 0, we apply division lemma to 339 and 583, to get
583 = 339 x 1 + 244
Step 3: We consider the new divisor 339 and the new remainder 244, and apply the division lemma to get
339 = 244 x 1 + 95
We consider the new divisor 244 and the new remainder 95,and apply the division lemma to get
244 = 95 x 2 + 54
We consider the new divisor 95 and the new remainder 54,and apply the division lemma to get
95 = 54 x 1 + 41
We consider the new divisor 54 and the new remainder 41,and apply the division lemma to get
54 = 41 x 1 + 13
We consider the new divisor 41 and the new remainder 13,and apply the division lemma to get
41 = 13 x 3 + 2
We consider the new divisor 13 and the new remainder 2,and apply the division lemma to get
13 = 2 x 6 + 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 583 and 922 is 1
Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(41,13) = HCF(54,41) = HCF(95,54) = HCF(244,95) = HCF(339,244) = HCF(583,339) = HCF(922,583) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 762 > 1, we apply the division lemma to 762 and 1, to get
762 = 1 x 762 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 762 is 1
Notice that 1 = HCF(762,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 57 > 1, we apply the division lemma to 57 and 1, to get
57 = 1 x 57 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 57 is 1
Notice that 1 = HCF(57,1) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 583, 922, 762, 57?
Answer: HCF of 583, 922, 762, 57 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 583, 922, 762, 57 using Euclid's Algorithm?
Answer: For arbitrary numbers 583, 922, 762, 57 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.