Highest Common Factor of 7714, 1821 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 7714, 1821 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7714, 1821 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 7714, 1821 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 7714, 1821 is 1.
HCF(7714, 1821) = 1
HCF of 7714, 1821 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7714, 1821 is 1.
Highest Common Factor of 7714,1821 is 1
Step 1: Since 7714 > 1821, we apply the division lemma to 7714 and 1821, to get
7714 = 1821 x 4 + 430
Step 2: Since the reminder 1821 ≠ 0, we apply division lemma to 430 and 1821, to get
1821 = 430 x 4 + 101
Step 3: We consider the new divisor 430 and the new remainder 101, and apply the division lemma to get
430 = 101 x 4 + 26
We consider the new divisor 101 and the new remainder 26,and apply the division lemma to get
101 = 26 x 3 + 23
We consider the new divisor 26 and the new remainder 23,and apply the division lemma to get
26 = 23 x 1 + 3
We consider the new divisor 23 and the new remainder 3,and apply the division lemma to get
23 = 3 x 7 + 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 7714 and 1821 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(23,3) = HCF(26,23) = HCF(101,26) = HCF(430,101) = HCF(1821,430) = HCF(7714,1821) .
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Frequently Asked Questions on HCF of 7714, 1821 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 7714, 1821?
Answer: HCF of 7714, 1821 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7714, 1821 using Euclid's Algorithm?
Answer: For arbitrary numbers 7714, 1821 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.