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 630, 546 i.e. 42 the largest integer that leaves a remainder zero for all numbers.
HCF of 630, 546 is 42 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 630, 546 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 630, 546 is 42.
HCF(630, 546) = 42
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 630, 546 is 42.
Step 1: Since 630 > 546, we apply the division lemma to 630 and 546, to get
630 = 546 x 1 + 84
Step 2: Since the reminder 546 ≠ 0, we apply division lemma to 84 and 546, to get
546 = 84 x 6 + 42
Step 3: We consider the new divisor 84 and the new remainder 42, and apply the division lemma to get
84 = 42 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 42, the HCF of 630 and 546 is 42
Notice that 42 = HCF(84,42) = HCF(546,84) = HCF(630,546) .
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 630, 546?
Answer: HCF of 630, 546 is 42 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 630, 546 using Euclid's Algorithm?
Answer: For arbitrary numbers 630, 546 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.