Highest Common Factor of 277, 161, 798 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 277, 161, 798 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 277, 161, 798 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 277, 161, 798 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 277, 161, 798 is 1.
HCF(277, 161, 798) = 1
HCF of 277, 161, 798 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 277, 161, 798 is 1.
Highest Common Factor of 277,161,798 is 1
Step 1: Since 277 > 161, we apply the division lemma to 277 and 161, to get
277 = 161 x 1 + 116
Step 2: Since the reminder 161 ≠ 0, we apply division lemma to 116 and 161, to get
161 = 116 x 1 + 45
Step 3: We consider the new divisor 116 and the new remainder 45, and apply the division lemma to get
116 = 45 x 2 + 26
We consider the new divisor 45 and the new remainder 26,and apply the division lemma to get
45 = 26 x 1 + 19
We consider the new divisor 26 and the new remainder 19,and apply the division lemma to get
26 = 19 x 1 + 7
We consider the new divisor 19 and the new remainder 7,and apply the division lemma to get
19 = 7 x 2 + 5
We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get
7 = 5 x 1 + 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 277 and 161 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(19,7) = HCF(26,19) = HCF(45,26) = HCF(116,45) = HCF(161,116) = HCF(277,161) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 798 > 1, we apply the division lemma to 798 and 1, to get
798 = 1 x 798 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 798 is 1
Notice that 1 = HCF(798,1) .
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Frequently Asked Questions on HCF of 277, 161, 798 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 277, 161, 798?
Answer: HCF of 277, 161, 798 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 277, 161, 798 using Euclid's Algorithm?
Answer: For arbitrary numbers 277, 161, 798 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.