Highest Common Factor of 1085, 1084, 96060 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 1085, 1084, 96060 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1085, 1084, 96060 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 1085, 1084, 96060 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 1085, 1084, 96060 is 1.
HCF(1085, 1084, 96060) = 1
HCF of 1085, 1084, 96060 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1085, 1084, 96060 is 1.
Highest Common Factor of 1085,1084,96060 is 1
Step 1: Since 1085 > 1084, we apply the division lemma to 1085 and 1084, to get
1085 = 1084 x 1 + 1
Step 2: Since the reminder 1084 ≠ 0, we apply division lemma to 1 and 1084, to get
1084 = 1 x 1084 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1085 and 1084 is 1
Notice that 1 = HCF(1084,1) = HCF(1085,1084) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 96060 > 1, we apply the division lemma to 96060 and 1, to get
96060 = 1 x 96060 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 96060 is 1
Notice that 1 = HCF(96060,1) .
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Frequently Asked Questions on HCF of 1085, 1084, 96060 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 1085, 1084, 96060?
Answer: HCF of 1085, 1084, 96060 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1085, 1084, 96060 using Euclid's Algorithm?
Answer: For arbitrary numbers 1085, 1084, 96060 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
