Highest Common Factor of 551, 874 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, 874 i.e. 19 the largest integer that leaves a remainder zero for all numbers.
HCF of 551, 874 is 19 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, 874 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, 874 is 19.
HCF(551, 874) = 19
HCF of 551, 874 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, 874 is 19.
Highest Common Factor of 551,874 is 19
Step 1: Since 874 > 551, we apply the division lemma to 874 and 551, to get
874 = 551 x 1 + 323
Step 2: Since the reminder 551 ≠ 0, we apply division lemma to 323 and 551, to get
551 = 323 x 1 + 228
Step 3: We consider the new divisor 323 and the new remainder 228, and apply the division lemma to get
323 = 228 x 1 + 95
We consider the new divisor 228 and the new remainder 95,and apply the division lemma to get
228 = 95 x 2 + 38
We consider the new divisor 95 and the new remainder 38,and apply the division lemma to get
95 = 38 x 2 + 19
We consider the new divisor 38 and the new remainder 19,and apply the division lemma to get
38 = 19 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 19, the HCF of 551 and 874 is 19
Notice that 19 = HCF(38,19) = HCF(95,38) = HCF(228,95) = HCF(323,228) = HCF(551,323) = HCF(874,551) .
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Frequently Asked Questions on HCF of 551, 874 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, 874?
Answer: HCF of 551, 874 is 19 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 551, 874 using Euclid's Algorithm?
Answer: For arbitrary numbers 551, 874 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.