Highest Common Factor of 6085, 6970, 28731 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 6085, 6970, 28731 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6085, 6970, 28731 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 6085, 6970, 28731 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 6085, 6970, 28731 is 1.
HCF(6085, 6970, 28731) = 1
HCF of 6085, 6970, 28731 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6085, 6970, 28731 is 1.
Highest Common Factor of 6085,6970,28731 is 1
Step 1: Since 6970 > 6085, we apply the division lemma to 6970 and 6085, to get
6970 = 6085 x 1 + 885
Step 2: Since the reminder 6085 ≠ 0, we apply division lemma to 885 and 6085, to get
6085 = 885 x 6 + 775
Step 3: We consider the new divisor 885 and the new remainder 775, and apply the division lemma to get
885 = 775 x 1 + 110
We consider the new divisor 775 and the new remainder 110,and apply the division lemma to get
775 = 110 x 7 + 5
We consider the new divisor 110 and the new remainder 5,and apply the division lemma to get
110 = 5 x 22 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 6085 and 6970 is 5
Notice that 5 = HCF(110,5) = HCF(775,110) = HCF(885,775) = HCF(6085,885) = HCF(6970,6085) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 28731 > 5, we apply the division lemma to 28731 and 5, to get
28731 = 5 x 5746 + 1
Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 1 and 5, to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5 and 28731 is 1
Notice that 1 = HCF(5,1) = HCF(28731,5) .
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Frequently Asked Questions on HCF of 6085, 6970, 28731 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 6085, 6970, 28731?
Answer: HCF of 6085, 6970, 28731 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6085, 6970, 28731 using Euclid's Algorithm?
Answer: For arbitrary numbers 6085, 6970, 28731 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.