Highest Common Factor of 551, 863, 141, 88 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, 863, 141, 88 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 551, 863, 141, 88 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, 863, 141, 88 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, 863, 141, 88 is 1.
HCF(551, 863, 141, 88) = 1
HCF of 551, 863, 141, 88 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, 863, 141, 88 is 1.
Highest Common Factor of 551,863,141,88 is 1
Step 1: Since 863 > 551, we apply the division lemma to 863 and 551, to get
863 = 551 x 1 + 312
Step 2: Since the reminder 551 ≠ 0, we apply division lemma to 312 and 551, to get
551 = 312 x 1 + 239
Step 3: We consider the new divisor 312 and the new remainder 239, and apply the division lemma to get
312 = 239 x 1 + 73
We consider the new divisor 239 and the new remainder 73,and apply the division lemma to get
239 = 73 x 3 + 20
We consider the new divisor 73 and the new remainder 20,and apply the division lemma to get
73 = 20 x 3 + 13
We consider the new divisor 20 and the new remainder 13,and apply the division lemma to get
20 = 13 x 1 + 7
We consider the new divisor 13 and the new remainder 7,and apply the division lemma to get
13 = 7 x 1 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 551 and 863 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(13,7) = HCF(20,13) = HCF(73,20) = HCF(239,73) = HCF(312,239) = HCF(551,312) = HCF(863,551) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 141 > 1, we apply the division lemma to 141 and 1, to get
141 = 1 x 141 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 141 is 1
Notice that 1 = HCF(141,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 88 > 1, we apply the division lemma to 88 and 1, to get
88 = 1 x 88 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 88 is 1
Notice that 1 = HCF(88,1) .
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Frequently Asked Questions on HCF of 551, 863, 141, 88 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, 863, 141, 88?
Answer: HCF of 551, 863, 141, 88 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 551, 863, 141, 88 using Euclid's Algorithm?
Answer: For arbitrary numbers 551, 863, 141, 88 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.