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 283, 714 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 283, 714 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 283, 714 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 283, 714 is 1.
HCF(283, 714) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 283, 714 is 1.
Step 1: Since 714 > 283, we apply the division lemma to 714 and 283, to get
714 = 283 x 2 + 148
Step 2: Since the reminder 283 ≠ 0, we apply division lemma to 148 and 283, to get
283 = 148 x 1 + 135
Step 3: We consider the new divisor 148 and the new remainder 135, and apply the division lemma to get
148 = 135 x 1 + 13
We consider the new divisor 135 and the new remainder 13,and apply the division lemma to get
135 = 13 x 10 + 5
We consider the new divisor 13 and the new remainder 5,and apply the division lemma to get
13 = 5 x 2 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 283 and 714 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(13,5) = HCF(135,13) = HCF(148,135) = HCF(283,148) = HCF(714,283) .
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 283, 714?
Answer: HCF of 283, 714 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 283, 714 using Euclid's Algorithm?
Answer: For arbitrary numbers 283, 714 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.