Highest Common Factor of 551, 796, 760, 183 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 551, 796, 760, 183 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 551, 796, 760, 183 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 551, 796, 760, 183 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 551, 796, 760, 183 is 1.
HCF(551, 796, 760, 183) = 1
HCF of 551, 796, 760, 183 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 551, 796, 760, 183 is 1.
Highest Common Factor of 551,796,760,183 is 1
Step 1: Since 796 > 551, we apply the division lemma to 796 and 551, to get
796 = 551 x 1 + 245
Step 2: Since the reminder 551 ≠ 0, we apply division lemma to 245 and 551, to get
551 = 245 x 2 + 61
Step 3: We consider the new divisor 245 and the new remainder 61, and apply the division lemma to get
245 = 61 x 4 + 1
We consider the new divisor 61 and the new remainder 1, and apply the division lemma to get
61 = 1 x 61 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 551 and 796 is 1
Notice that 1 = HCF(61,1) = HCF(245,61) = HCF(551,245) = HCF(796,551) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 760 > 1, we apply the division lemma to 760 and 1, to get
760 = 1 x 760 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 760 is 1
Notice that 1 = HCF(760,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 183 > 1, we apply the division lemma to 183 and 1, to get
183 = 1 x 183 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 183 is 1
Notice that 1 = HCF(183,1) .
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Frequently Asked Questions on HCF of 551, 796, 760, 183 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 551, 796, 760, 183?
Answer: HCF of 551, 796, 760, 183 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 551, 796, 760, 183 using Euclid's Algorithm?
Answer: For arbitrary numbers 551, 796, 760, 183 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.