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 621, 552, 690 i.e. 69 the largest integer that leaves a remainder zero for all numbers.
HCF of 621, 552, 690 is 69 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 621, 552, 690 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 621, 552, 690 is 69.
HCF(621, 552, 690) = 69
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 621, 552, 690 is 69.
Step 1: Since 621 > 552, we apply the division lemma to 621 and 552, to get
621 = 552 x 1 + 69
Step 2: Since the reminder 552 ≠ 0, we apply division lemma to 69 and 552, to get
552 = 69 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 69, the HCF of 621 and 552 is 69
Notice that 69 = HCF(552,69) = HCF(621,552) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 690 > 69, we apply the division lemma to 690 and 69, to get
690 = 69 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 69, the HCF of 69 and 690 is 69
Notice that 69 = HCF(690,69) .
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 621, 552, 690?
Answer: HCF of 621, 552, 690 is 69 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 621, 552, 690 using Euclid's Algorithm?
Answer: For arbitrary numbers 621, 552, 690 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.