Highest Common Factor of 1661, 6981, 78842 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 1661, 6981, 78842 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1661, 6981, 78842 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 1661, 6981, 78842 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 1661, 6981, 78842 is 1.
HCF(1661, 6981, 78842) = 1
HCF of 1661, 6981, 78842 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1661, 6981, 78842 is 1.
Highest Common Factor of 1661,6981,78842 is 1
Step 1: Since 6981 > 1661, we apply the division lemma to 6981 and 1661, to get
6981 = 1661 x 4 + 337
Step 2: Since the reminder 1661 ≠ 0, we apply division lemma to 337 and 1661, to get
1661 = 337 x 4 + 313
Step 3: We consider the new divisor 337 and the new remainder 313, and apply the division lemma to get
337 = 313 x 1 + 24
We consider the new divisor 313 and the new remainder 24,and apply the division lemma to get
313 = 24 x 13 + 1
We consider the new divisor 24 and the new remainder 1,and apply the division lemma to get
24 = 1 x 24 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1661 and 6981 is 1
Notice that 1 = HCF(24,1) = HCF(313,24) = HCF(337,313) = HCF(1661,337) = HCF(6981,1661) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 78842 > 1, we apply the division lemma to 78842 and 1, to get
78842 = 1 x 78842 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 78842 is 1
Notice that 1 = HCF(78842,1) .
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Frequently Asked Questions on HCF of 1661, 6981, 78842 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 1661, 6981, 78842?
Answer: HCF of 1661, 6981, 78842 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1661, 6981, 78842 using Euclid's Algorithm?
Answer: For arbitrary numbers 1661, 6981, 78842 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.