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 569, 881, 160 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 569, 881, 160 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 569, 881, 160 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 569, 881, 160 is 1.
HCF(569, 881, 160) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 569, 881, 160 is 1.
Step 1: Since 881 > 569, we apply the division lemma to 881 and 569, to get
881 = 569 x 1 + 312
Step 2: Since the reminder 569 ≠ 0, we apply division lemma to 312 and 569, to get
569 = 312 x 1 + 257
Step 3: We consider the new divisor 312 and the new remainder 257, and apply the division lemma to get
312 = 257 x 1 + 55
We consider the new divisor 257 and the new remainder 55,and apply the division lemma to get
257 = 55 x 4 + 37
We consider the new divisor 55 and the new remainder 37,and apply the division lemma to get
55 = 37 x 1 + 18
We consider the new divisor 37 and the new remainder 18,and apply the division lemma to get
37 = 18 x 2 + 1
We consider the new divisor 18 and the new remainder 1,and apply the division lemma to get
18 = 1 x 18 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 569 and 881 is 1
Notice that 1 = HCF(18,1) = HCF(37,18) = HCF(55,37) = HCF(257,55) = HCF(312,257) = HCF(569,312) = HCF(881,569) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 160 > 1, we apply the division lemma to 160 and 1, to get
160 = 1 x 160 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 160 is 1
Notice that 1 = HCF(160,1) .
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 569, 881, 160?
Answer: HCF of 569, 881, 160 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 569, 881, 160 using Euclid's Algorithm?
Answer: For arbitrary numbers 569, 881, 160 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.