Highest Common Factor of 7789, 6821, 69747 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 7789, 6821, 69747 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7789, 6821, 69747 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 7789, 6821, 69747 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 7789, 6821, 69747 is 1.
HCF(7789, 6821, 69747) = 1
HCF of 7789, 6821, 69747 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7789, 6821, 69747 is 1.
Highest Common Factor of 7789,6821,69747 is 1
Step 1: Since 7789 > 6821, we apply the division lemma to 7789 and 6821, to get
7789 = 6821 x 1 + 968
Step 2: Since the reminder 6821 ≠ 0, we apply division lemma to 968 and 6821, to get
6821 = 968 x 7 + 45
Step 3: We consider the new divisor 968 and the new remainder 45, and apply the division lemma to get
968 = 45 x 21 + 23
We consider the new divisor 45 and the new remainder 23,and apply the division lemma to get
45 = 23 x 1 + 22
We consider the new divisor 23 and the new remainder 22,and apply the division lemma to get
23 = 22 x 1 + 1
We consider the new divisor 22 and the new remainder 1,and apply the division lemma to get
22 = 1 x 22 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7789 and 6821 is 1
Notice that 1 = HCF(22,1) = HCF(23,22) = HCF(45,23) = HCF(968,45) = HCF(6821,968) = HCF(7789,6821) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 69747 > 1, we apply the division lemma to 69747 and 1, to get
69747 = 1 x 69747 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 69747 is 1
Notice that 1 = HCF(69747,1) .
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Frequently Asked Questions on HCF of 7789, 6821, 69747 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 7789, 6821, 69747?
Answer: HCF of 7789, 6821, 69747 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7789, 6821, 69747 using Euclid's Algorithm?
Answer: For arbitrary numbers 7789, 6821, 69747 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
