Highest Common Factor of 781, 8893, 8021 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 781, 8893, 8021 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 781, 8893, 8021 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 781, 8893, 8021 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 781, 8893, 8021 is 1.
HCF(781, 8893, 8021) = 1
HCF of 781, 8893, 8021 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 781, 8893, 8021 is 1.
Highest Common Factor of 781,8893,8021 is 1
Step 1: Since 8893 > 781, we apply the division lemma to 8893 and 781, to get
8893 = 781 x 11 + 302
Step 2: Since the reminder 781 ≠ 0, we apply division lemma to 302 and 781, to get
781 = 302 x 2 + 177
Step 3: We consider the new divisor 302 and the new remainder 177, and apply the division lemma to get
302 = 177 x 1 + 125
We consider the new divisor 177 and the new remainder 125,and apply the division lemma to get
177 = 125 x 1 + 52
We consider the new divisor 125 and the new remainder 52,and apply the division lemma to get
125 = 52 x 2 + 21
We consider the new divisor 52 and the new remainder 21,and apply the division lemma to get
52 = 21 x 2 + 10
We consider the new divisor 21 and the new remainder 10,and apply the division lemma to get
21 = 10 x 2 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 781 and 8893 is 1
Notice that 1 = HCF(10,1) = HCF(21,10) = HCF(52,21) = HCF(125,52) = HCF(177,125) = HCF(302,177) = HCF(781,302) = HCF(8893,781) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 8021 > 1, we apply the division lemma to 8021 and 1, to get
8021 = 1 x 8021 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 8021 is 1
Notice that 1 = HCF(8021,1) .
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Frequently Asked Questions on HCF of 781, 8893, 8021 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 781, 8893, 8021?
Answer: HCF of 781, 8893, 8021 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 781, 8893, 8021 using Euclid's Algorithm?
Answer: For arbitrary numbers 781, 8893, 8021 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.