Highest Common Factor of 564, 893 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 564, 893 i.e. 47 the largest integer that leaves a remainder zero for all numbers.
HCF of 564, 893 is 47 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 564, 893 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 564, 893 is 47.
HCF(564, 893) = 47
HCF of 564, 893 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 564, 893 is 47.
Highest Common Factor of 564,893 is 47
Step 1: Since 893 > 564, we apply the division lemma to 893 and 564, to get
893 = 564 x 1 + 329
Step 2: Since the reminder 564 ≠ 0, we apply division lemma to 329 and 564, to get
564 = 329 x 1 + 235
Step 3: We consider the new divisor 329 and the new remainder 235, and apply the division lemma to get
329 = 235 x 1 + 94
We consider the new divisor 235 and the new remainder 94,and apply the division lemma to get
235 = 94 x 2 + 47
We consider the new divisor 94 and the new remainder 47,and apply the division lemma to get
94 = 47 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 47, the HCF of 564 and 893 is 47
Notice that 47 = HCF(94,47) = HCF(235,94) = HCF(329,235) = HCF(564,329) = HCF(893,564) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 564, 893 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 564, 893?
Answer: HCF of 564, 893 is 47 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 564, 893 using Euclid's Algorithm?
Answer: For arbitrary numbers 564, 893 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.