Highest Common Factor of 714, 1823 using Euclid's algorithm
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, 1823 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 714, 1823 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 714, 1823 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, 1823 is 1.
HCF(714, 1823) = 1
HCF of 714, 1823 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 714, 1823 is 1.
Highest Common Factor of 714,1823 is 1
Step 1: Since 1823 > 714, we apply the division lemma to 1823 and 714, to get
1823 = 714 x 2 + 395
Step 2: Since the reminder 714 ≠ 0, we apply division lemma to 395 and 714, to get
714 = 395 x 1 + 319
Step 3: We consider the new divisor 395 and the new remainder 319, and apply the division lemma to get
395 = 319 x 1 + 76
We consider the new divisor 319 and the new remainder 76,and apply the division lemma to get
319 = 76 x 4 + 15
We consider the new divisor 76 and the new remainder 15,and apply the division lemma to get
76 = 15 x 5 + 1
We consider the new divisor 15 and the new remainder 1,and apply the division lemma to get
15 = 1 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 714 and 1823 is 1
Notice that 1 = HCF(15,1) = HCF(76,15) = HCF(319,76) = HCF(395,319) = HCF(714,395) = HCF(1823,714) .
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Frequently Asked Questions on HCF of 714, 1823 using Euclid's Algorithm
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, 1823?
Answer: HCF of 714, 1823 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 714, 1823 using Euclid's Algorithm?
Answer: For arbitrary numbers 714, 1823 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
