Highest Common Factor of 7107, 6835, 84692 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 7107, 6835, 84692 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7107, 6835, 84692 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 7107, 6835, 84692 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 7107, 6835, 84692 is 1.
HCF(7107, 6835, 84692) = 1
HCF of 7107, 6835, 84692 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7107, 6835, 84692 is 1.
Highest Common Factor of 7107,6835,84692 is 1
Step 1: Since 7107 > 6835, we apply the division lemma to 7107 and 6835, to get
7107 = 6835 x 1 + 272
Step 2: Since the reminder 6835 ≠ 0, we apply division lemma to 272 and 6835, to get
6835 = 272 x 25 + 35
Step 3: We consider the new divisor 272 and the new remainder 35, and apply the division lemma to get
272 = 35 x 7 + 27
We consider the new divisor 35 and the new remainder 27,and apply the division lemma to get
35 = 27 x 1 + 8
We consider the new divisor 27 and the new remainder 8,and apply the division lemma to get
27 = 8 x 3 + 3
We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get
8 = 3 x 2 + 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 7107 and 6835 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(27,8) = HCF(35,27) = HCF(272,35) = HCF(6835,272) = HCF(7107,6835) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 84692 > 1, we apply the division lemma to 84692 and 1, to get
84692 = 1 x 84692 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 84692 is 1
Notice that 1 = HCF(84692,1) .
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Frequently Asked Questions on HCF of 7107, 6835, 84692 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 7107, 6835, 84692?
Answer: HCF of 7107, 6835, 84692 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7107, 6835, 84692 using Euclid's Algorithm?
Answer: For arbitrary numbers 7107, 6835, 84692 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.