Highest Common Factor of 991, 841, 115 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 991, 841, 115 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 991, 841, 115 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 991, 841, 115 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 991, 841, 115 is 1.
HCF(991, 841, 115) = 1
HCF of 991, 841, 115 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 991, 841, 115 is 1.
Highest Common Factor of 991,841,115 is 1
Step 1: Since 991 > 841, we apply the division lemma to 991 and 841, to get
991 = 841 x 1 + 150
Step 2: Since the reminder 841 ≠ 0, we apply division lemma to 150 and 841, to get
841 = 150 x 5 + 91
Step 3: We consider the new divisor 150 and the new remainder 91, and apply the division lemma to get
150 = 91 x 1 + 59
We consider the new divisor 91 and the new remainder 59,and apply the division lemma to get
91 = 59 x 1 + 32
We consider the new divisor 59 and the new remainder 32,and apply the division lemma to get
59 = 32 x 1 + 27
We consider the new divisor 32 and the new remainder 27,and apply the division lemma to get
32 = 27 x 1 + 5
We consider the new divisor 27 and the new remainder 5,and apply the division lemma to get
27 = 5 x 5 + 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 991 and 841 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(27,5) = HCF(32,27) = HCF(59,32) = HCF(91,59) = HCF(150,91) = HCF(841,150) = HCF(991,841) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 115 > 1, we apply the division lemma to 115 and 1, to get
115 = 1 x 115 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 115 is 1
Notice that 1 = HCF(115,1) .
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Frequently Asked Questions on HCF of 991, 841, 115 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 991, 841, 115?
Answer: HCF of 991, 841, 115 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 991, 841, 115 using Euclid's Algorithm?
Answer: For arbitrary numbers 991, 841, 115 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.