Highest Common Factor of 491, 933, 290, 59 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 491, 933, 290, 59 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 491, 933, 290, 59 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 491, 933, 290, 59 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 491, 933, 290, 59 is 1.
HCF(491, 933, 290, 59) = 1
HCF of 491, 933, 290, 59 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 491, 933, 290, 59 is 1.
Highest Common Factor of 491,933,290,59 is 1
Step 1: Since 933 > 491, we apply the division lemma to 933 and 491, to get
933 = 491 x 1 + 442
Step 2: Since the reminder 491 ≠ 0, we apply division lemma to 442 and 491, to get
491 = 442 x 1 + 49
Step 3: We consider the new divisor 442 and the new remainder 49, and apply the division lemma to get
442 = 49 x 9 + 1
We consider the new divisor 49 and the new remainder 1, and apply the division lemma to get
49 = 1 x 49 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 491 and 933 is 1
Notice that 1 = HCF(49,1) = HCF(442,49) = HCF(491,442) = HCF(933,491) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 290 > 1, we apply the division lemma to 290 and 1, to get
290 = 1 x 290 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 290 is 1
Notice that 1 = HCF(290,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 59 > 1, we apply the division lemma to 59 and 1, to get
59 = 1 x 59 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 59 is 1
Notice that 1 = HCF(59,1) .
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Frequently Asked Questions on HCF of 491, 933, 290, 59 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 491, 933, 290, 59?
Answer: HCF of 491, 933, 290, 59 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 491, 933, 290, 59 using Euclid's Algorithm?
Answer: For arbitrary numbers 491, 933, 290, 59 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.