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 565, 928, 873, 90 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 565, 928, 873, 90 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 565, 928, 873, 90 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 565, 928, 873, 90 is 1.
HCF(565, 928, 873, 90) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 565, 928, 873, 90 is 1.
Step 1: Since 928 > 565, we apply the division lemma to 928 and 565, to get
928 = 565 x 1 + 363
Step 2: Since the reminder 565 ≠ 0, we apply division lemma to 363 and 565, to get
565 = 363 x 1 + 202
Step 3: We consider the new divisor 363 and the new remainder 202, and apply the division lemma to get
363 = 202 x 1 + 161
We consider the new divisor 202 and the new remainder 161,and apply the division lemma to get
202 = 161 x 1 + 41
We consider the new divisor 161 and the new remainder 41,and apply the division lemma to get
161 = 41 x 3 + 38
We consider the new divisor 41 and the new remainder 38,and apply the division lemma to get
41 = 38 x 1 + 3
We consider the new divisor 38 and the new remainder 3,and apply the division lemma to get
38 = 3 x 12 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 565 and 928 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(38,3) = HCF(41,38) = HCF(161,41) = HCF(202,161) = HCF(363,202) = HCF(565,363) = HCF(928,565) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 873 > 1, we apply the division lemma to 873 and 1, to get
873 = 1 x 873 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 873 is 1
Notice that 1 = HCF(873,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 90 > 1, we apply the division lemma to 90 and 1, to get
90 = 1 x 90 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 90 is 1
Notice that 1 = HCF(90,1) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 565, 928, 873, 90?
Answer: HCF of 565, 928, 873, 90 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 565, 928, 873, 90 using Euclid's Algorithm?
Answer: For arbitrary numbers 565, 928, 873, 90 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.