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 881, 542, 385 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 881, 542, 385 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 881, 542, 385 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 881, 542, 385 is 1.
HCF(881, 542, 385) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 881, 542, 385 is 1.
Step 1: Since 881 > 542, we apply the division lemma to 881 and 542, to get
881 = 542 x 1 + 339
Step 2: Since the reminder 542 ≠ 0, we apply division lemma to 339 and 542, to get
542 = 339 x 1 + 203
Step 3: We consider the new divisor 339 and the new remainder 203, and apply the division lemma to get
339 = 203 x 1 + 136
We consider the new divisor 203 and the new remainder 136,and apply the division lemma to get
203 = 136 x 1 + 67
We consider the new divisor 136 and the new remainder 67,and apply the division lemma to get
136 = 67 x 2 + 2
We consider the new divisor 67 and the new remainder 2,and apply the division lemma to get
67 = 2 x 33 + 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 881 and 542 is 1
Notice that 1 = HCF(2,1) = HCF(67,2) = HCF(136,67) = HCF(203,136) = HCF(339,203) = HCF(542,339) = HCF(881,542) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 385 > 1, we apply the division lemma to 385 and 1, to get
385 = 1 x 385 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 385 is 1
Notice that 1 = HCF(385,1) .
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 881, 542, 385?
Answer: HCF of 881, 542, 385 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 881, 542, 385 using Euclid's Algorithm?
Answer: For arbitrary numbers 881, 542, 385 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.