Highest Common Factor of 899, 961, 801 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 899, 961, 801 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 899, 961, 801 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 899, 961, 801 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 899, 961, 801 is 1.
HCF(899, 961, 801) = 1
HCF of 899, 961, 801 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 899, 961, 801 is 1.
Highest Common Factor of 899,961,801 is 1
Step 1: Since 961 > 899, we apply the division lemma to 961 and 899, to get
961 = 899 x 1 + 62
Step 2: Since the reminder 899 ≠ 0, we apply division lemma to 62 and 899, to get
899 = 62 x 14 + 31
Step 3: We consider the new divisor 62 and the new remainder 31, and apply the division lemma to get
62 = 31 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 31, the HCF of 899 and 961 is 31
Notice that 31 = HCF(62,31) = HCF(899,62) = HCF(961,899) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 801 > 31, we apply the division lemma to 801 and 31, to get
801 = 31 x 25 + 26
Step 2: Since the reminder 31 ≠ 0, we apply division lemma to 26 and 31, to get
31 = 26 x 1 + 5
Step 3: We consider the new divisor 26 and the new remainder 5, and apply the division lemma to get
26 = 5 x 5 + 1
We consider the new divisor 5 and the new remainder 1, and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 31 and 801 is 1
Notice that 1 = HCF(5,1) = HCF(26,5) = HCF(31,26) = HCF(801,31) .
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Frequently Asked Questions on HCF of 899, 961, 801 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 899, 961, 801?
Answer: HCF of 899, 961, 801 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 899, 961, 801 using Euclid's Algorithm?
Answer: For arbitrary numbers 899, 961, 801 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.