Highest Common Factor of 291, 194, 262 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 291, 194, 262 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 291, 194, 262 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 291, 194, 262 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 291, 194, 262 is 1.
HCF(291, 194, 262) = 1
HCF of 291, 194, 262 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 291, 194, 262 is 1.
Highest Common Factor of 291,194,262 is 1
Step 1: Since 291 > 194, we apply the division lemma to 291 and 194, to get
291 = 194 x 1 + 97
Step 2: Since the reminder 194 ≠ 0, we apply division lemma to 97 and 194, to get
194 = 97 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 97, the HCF of 291 and 194 is 97
Notice that 97 = HCF(194,97) = HCF(291,194) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 262 > 97, we apply the division lemma to 262 and 97, to get
262 = 97 x 2 + 68
Step 2: Since the reminder 97 ≠ 0, we apply division lemma to 68 and 97, to get
97 = 68 x 1 + 29
Step 3: We consider the new divisor 68 and the new remainder 29, and apply the division lemma to get
68 = 29 x 2 + 10
We consider the new divisor 29 and the new remainder 10,and apply the division lemma to get
29 = 10 x 2 + 9
We consider the new divisor 10 and the new remainder 9,and apply the division lemma to get
10 = 9 x 1 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 97 and 262 is 1
Notice that 1 = HCF(9,1) = HCF(10,9) = HCF(29,10) = HCF(68,29) = HCF(97,68) = HCF(262,97) .
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Frequently Asked Questions on HCF of 291, 194, 262 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 291, 194, 262?
Answer: HCF of 291, 194, 262 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 291, 194, 262 using Euclid's Algorithm?
Answer: For arbitrary numbers 291, 194, 262 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.