Highest Common Factor of 575, 966, 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 575, 966, 874 i.e. 23 the largest integer that leaves a remainder zero for all numbers.
HCF of 575, 966, 874 is 23 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 575, 966, 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 575, 966, 874 is 23.
HCF(575, 966, 874) = 23
HCF of 575, 966, 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 575, 966, 874 is 23.
Highest Common Factor of 575,966,874 is 23
Step 1: Since 966 > 575, we apply the division lemma to 966 and 575, to get
966 = 575 x 1 + 391
Step 2: Since the reminder 575 ≠ 0, we apply division lemma to 391 and 575, to get
575 = 391 x 1 + 184
Step 3: We consider the new divisor 391 and the new remainder 184, and apply the division lemma to get
391 = 184 x 2 + 23
We consider the new divisor 184 and the new remainder 23, and apply the division lemma to get
184 = 23 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 23, the HCF of 575 and 966 is 23
Notice that 23 = HCF(184,23) = HCF(391,184) = HCF(575,391) = HCF(966,575) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 874 > 23, we apply the division lemma to 874 and 23, to get
874 = 23 x 38 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 23, the HCF of 23 and 874 is 23
Notice that 23 = HCF(874,23) .
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Frequently Asked Questions on HCF of 575, 966, 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 575, 966, 874?
Answer: HCF of 575, 966, 874 is 23 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 575, 966, 874 using Euclid's Algorithm?
Answer: For arbitrary numbers 575, 966, 874 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.