Highest Common Factor of 1861, 7725, 43244 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 1861, 7725, 43244 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1861, 7725, 43244 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 1861, 7725, 43244 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 1861, 7725, 43244 is 1.
HCF(1861, 7725, 43244) = 1
HCF of 1861, 7725, 43244 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1861, 7725, 43244 is 1.
Highest Common Factor of 1861,7725,43244 is 1
Step 1: Since 7725 > 1861, we apply the division lemma to 7725 and 1861, to get
7725 = 1861 x 4 + 281
Step 2: Since the reminder 1861 ≠ 0, we apply division lemma to 281 and 1861, to get
1861 = 281 x 6 + 175
Step 3: We consider the new divisor 281 and the new remainder 175, and apply the division lemma to get
281 = 175 x 1 + 106
We consider the new divisor 175 and the new remainder 106,and apply the division lemma to get
175 = 106 x 1 + 69
We consider the new divisor 106 and the new remainder 69,and apply the division lemma to get
106 = 69 x 1 + 37
We consider the new divisor 69 and the new remainder 37,and apply the division lemma to get
69 = 37 x 1 + 32
We consider the new divisor 37 and the new remainder 32,and apply the division lemma to get
37 = 32 x 1 + 5
We consider the new divisor 32 and the new remainder 5,and apply the division lemma to get
32 = 5 x 6 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 1861 and 7725 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(32,5) = HCF(37,32) = HCF(69,37) = HCF(106,69) = HCF(175,106) = HCF(281,175) = HCF(1861,281) = HCF(7725,1861) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 43244 > 1, we apply the division lemma to 43244 and 1, to get
43244 = 1 x 43244 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 43244 is 1
Notice that 1 = HCF(43244,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 1861, 7725, 43244 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 1861, 7725, 43244?
Answer: HCF of 1861, 7725, 43244 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1861, 7725, 43244 using Euclid's Algorithm?
Answer: For arbitrary numbers 1861, 7725, 43244 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
