Highest Common Factor of 1865, 6128, 61765 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 1865, 6128, 61765 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1865, 6128, 61765 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 1865, 6128, 61765 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 1865, 6128, 61765 is 1.
HCF(1865, 6128, 61765) = 1
HCF of 1865, 6128, 61765 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1865, 6128, 61765 is 1.
Highest Common Factor of 1865,6128,61765 is 1
Step 1: Since 6128 > 1865, we apply the division lemma to 6128 and 1865, to get
6128 = 1865 x 3 + 533
Step 2: Since the reminder 1865 ≠ 0, we apply division lemma to 533 and 1865, to get
1865 = 533 x 3 + 266
Step 3: We consider the new divisor 533 and the new remainder 266, and apply the division lemma to get
533 = 266 x 2 + 1
We consider the new divisor 266 and the new remainder 1, and apply the division lemma to get
266 = 1 x 266 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1865 and 6128 is 1
Notice that 1 = HCF(266,1) = HCF(533,266) = HCF(1865,533) = HCF(6128,1865) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 61765 > 1, we apply the division lemma to 61765 and 1, to get
61765 = 1 x 61765 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 61765 is 1
Notice that 1 = HCF(61765,1) .
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Frequently Asked Questions on HCF of 1865, 6128, 61765 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 1865, 6128, 61765?
Answer: HCF of 1865, 6128, 61765 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1865, 6128, 61765 using Euclid's Algorithm?
Answer: For arbitrary numbers 1865, 6128, 61765 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
