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 57, 542 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 57, 542 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 57, 542 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 57, 542 is 1.
HCF(57, 542) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 57, 542 is 1.
Step 1: Since 542 > 57, we apply the division lemma to 542 and 57, to get
542 = 57 x 9 + 29
Step 2: Since the reminder 57 ≠ 0, we apply division lemma to 29 and 57, to get
57 = 29 x 1 + 28
Step 3: We consider the new divisor 29 and the new remainder 28, and apply the division lemma to get
29 = 28 x 1 + 1
We consider the new divisor 28 and the new remainder 1, and apply the division lemma to get
28 = 1 x 28 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 57 and 542 is 1
Notice that 1 = HCF(28,1) = HCF(29,28) = HCF(57,29) = HCF(542,57) .
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 57, 542?
Answer: HCF of 57, 542 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 57, 542 using Euclid's Algorithm?
Answer: For arbitrary numbers 57, 542 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.