Highest Common Factor of 923, 568, 142 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 923, 568, 142 i.e. 71 the largest integer that leaves a remainder zero for all numbers.
HCF of 923, 568, 142 is 71 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 923, 568, 142 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 923, 568, 142 is 71.
HCF(923, 568, 142) = 71
HCF of 923, 568, 142 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 923, 568, 142 is 71.
Highest Common Factor of 923,568,142 is 71
Step 1: Since 923 > 568, we apply the division lemma to 923 and 568, to get
923 = 568 x 1 + 355
Step 2: Since the reminder 568 ≠ 0, we apply division lemma to 355 and 568, to get
568 = 355 x 1 + 213
Step 3: We consider the new divisor 355 and the new remainder 213, and apply the division lemma to get
355 = 213 x 1 + 142
We consider the new divisor 213 and the new remainder 142,and apply the division lemma to get
213 = 142 x 1 + 71
We consider the new divisor 142 and the new remainder 71,and apply the division lemma to get
142 = 71 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 71, the HCF of 923 and 568 is 71
Notice that 71 = HCF(142,71) = HCF(213,142) = HCF(355,213) = HCF(568,355) = HCF(923,568) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 142 > 71, we apply the division lemma to 142 and 71, to get
142 = 71 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 71, the HCF of 71 and 142 is 71
Notice that 71 = HCF(142,71) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 923, 568, 142 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 923, 568, 142?
Answer: HCF of 923, 568, 142 is 71 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 923, 568, 142 using Euclid's Algorithm?
Answer: For arbitrary numbers 923, 568, 142 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.