Highest Common Factor of 940, 586, 910, 633 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 940, 586, 910, 633 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 940, 586, 910, 633 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 940, 586, 910, 633 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 940, 586, 910, 633 is 1.
HCF(940, 586, 910, 633) = 1
HCF of 940, 586, 910, 633 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 940, 586, 910, 633 is 1.
Highest Common Factor of 940,586,910,633 is 1
Step 1: Since 940 > 586, we apply the division lemma to 940 and 586, to get
940 = 586 x 1 + 354
Step 2: Since the reminder 586 ≠ 0, we apply division lemma to 354 and 586, to get
586 = 354 x 1 + 232
Step 3: We consider the new divisor 354 and the new remainder 232, and apply the division lemma to get
354 = 232 x 1 + 122
We consider the new divisor 232 and the new remainder 122,and apply the division lemma to get
232 = 122 x 1 + 110
We consider the new divisor 122 and the new remainder 110,and apply the division lemma to get
122 = 110 x 1 + 12
We consider the new divisor 110 and the new remainder 12,and apply the division lemma to get
110 = 12 x 9 + 2
We consider the new divisor 12 and the new remainder 2,and apply the division lemma to get
12 = 2 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 940 and 586 is 2
Notice that 2 = HCF(12,2) = HCF(110,12) = HCF(122,110) = HCF(232,122) = HCF(354,232) = HCF(586,354) = HCF(940,586) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 910 > 2, we apply the division lemma to 910 and 2, to get
910 = 2 x 455 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 910 is 2
Notice that 2 = HCF(910,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 633 > 2, we apply the division lemma to 633 and 2, to get
633 = 2 x 316 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 633 is 1
Notice that 1 = HCF(2,1) = HCF(633,2) .
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Frequently Asked Questions on HCF of 940, 586, 910, 633 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 940, 586, 910, 633?
Answer: HCF of 940, 586, 910, 633 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 940, 586, 910, 633 using Euclid's Algorithm?
Answer: For arbitrary numbers 940, 586, 910, 633 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.