Highest Common Factor of 895, 9590, 3727 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 895, 9590, 3727 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 895, 9590, 3727 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 895, 9590, 3727 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 895, 9590, 3727 is 1.
HCF(895, 9590, 3727) = 1
HCF of 895, 9590, 3727 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 895, 9590, 3727 is 1.
Highest Common Factor of 895,9590,3727 is 1
Step 1: Since 9590 > 895, we apply the division lemma to 9590 and 895, to get
9590 = 895 x 10 + 640
Step 2: Since the reminder 895 ≠ 0, we apply division lemma to 640 and 895, to get
895 = 640 x 1 + 255
Step 3: We consider the new divisor 640 and the new remainder 255, and apply the division lemma to get
640 = 255 x 2 + 130
We consider the new divisor 255 and the new remainder 130,and apply the division lemma to get
255 = 130 x 1 + 125
We consider the new divisor 130 and the new remainder 125,and apply the division lemma to get
130 = 125 x 1 + 5
We consider the new divisor 125 and the new remainder 5,and apply the division lemma to get
125 = 5 x 25 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 895 and 9590 is 5
Notice that 5 = HCF(125,5) = HCF(130,125) = HCF(255,130) = HCF(640,255) = HCF(895,640) = HCF(9590,895) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 3727 > 5, we apply the division lemma to 3727 and 5, to get
3727 = 5 x 745 + 2
Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 2 and 5, to get
5 = 2 x 2 + 1
Step 3: 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 5 and 3727 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(3727,5) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 895, 9590, 3727 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 895, 9590, 3727?
Answer: HCF of 895, 9590, 3727 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 895, 9590, 3727 using Euclid's Algorithm?
Answer: For arbitrary numbers 895, 9590, 3727 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
