Highest Common Factor of 8807, 1201, 26501 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 8807, 1201, 26501 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8807, 1201, 26501 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 8807, 1201, 26501 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 8807, 1201, 26501 is 1.
HCF(8807, 1201, 26501) = 1
HCF of 8807, 1201, 26501 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8807, 1201, 26501 is 1.
Highest Common Factor of 8807,1201,26501 is 1
Step 1: Since 8807 > 1201, we apply the division lemma to 8807 and 1201, to get
8807 = 1201 x 7 + 400
Step 2: Since the reminder 1201 ≠ 0, we apply division lemma to 400 and 1201, to get
1201 = 400 x 3 + 1
Step 3: We consider the new divisor 400 and the new remainder 1, and apply the division lemma to get
400 = 1 x 400 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8807 and 1201 is 1
Notice that 1 = HCF(400,1) = HCF(1201,400) = HCF(8807,1201) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 26501 > 1, we apply the division lemma to 26501 and 1, to get
26501 = 1 x 26501 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 26501 is 1
Notice that 1 = HCF(26501,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 8807, 1201, 26501 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 8807, 1201, 26501?
Answer: HCF of 8807, 1201, 26501 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8807, 1201, 26501 using Euclid's Algorithm?
Answer: For arbitrary numbers 8807, 1201, 26501 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.