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 714, 567 i.e. 21 the largest integer that leaves a remainder zero for all numbers.
HCF of 714, 567 is 21 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 714, 567 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 714, 567 is 21.
HCF(714, 567) = 21
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 714, 567 is 21.
Step 1: Since 714 > 567, we apply the division lemma to 714 and 567, to get
714 = 567 x 1 + 147
Step 2: Since the reminder 567 ≠ 0, we apply division lemma to 147 and 567, to get
567 = 147 x 3 + 126
Step 3: We consider the new divisor 147 and the new remainder 126, and apply the division lemma to get
147 = 126 x 1 + 21
We consider the new divisor 126 and the new remainder 21, and apply the division lemma to get
126 = 21 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 21, the HCF of 714 and 567 is 21
Notice that 21 = HCF(126,21) = HCF(147,126) = HCF(567,147) = HCF(714,567) .
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 714, 567?
Answer: HCF of 714, 567 is 21 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 714, 567 using Euclid's Algorithm?
Answer: For arbitrary numbers 714, 567 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.