Highest Common Factor of 497, 306, 330, 991 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 497, 306, 330, 991 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 497, 306, 330, 991 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 497, 306, 330, 991 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 497, 306, 330, 991 is 1.
HCF(497, 306, 330, 991) = 1
HCF of 497, 306, 330, 991 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 497, 306, 330, 991 is 1.
Highest Common Factor of 497,306,330,991 is 1
Step 1: Since 497 > 306, we apply the division lemma to 497 and 306, to get
497 = 306 x 1 + 191
Step 2: Since the reminder 306 ≠ 0, we apply division lemma to 191 and 306, to get
306 = 191 x 1 + 115
Step 3: We consider the new divisor 191 and the new remainder 115, and apply the division lemma to get
191 = 115 x 1 + 76
We consider the new divisor 115 and the new remainder 76,and apply the division lemma to get
115 = 76 x 1 + 39
We consider the new divisor 76 and the new remainder 39,and apply the division lemma to get
76 = 39 x 1 + 37
We consider the new divisor 39 and the new remainder 37,and apply the division lemma to get
39 = 37 x 1 + 2
We consider the new divisor 37 and the new remainder 2,and apply the division lemma to get
37 = 2 x 18 + 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 497 and 306 is 1
Notice that 1 = HCF(2,1) = HCF(37,2) = HCF(39,37) = HCF(76,39) = HCF(115,76) = HCF(191,115) = HCF(306,191) = HCF(497,306) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 330 > 1, we apply the division lemma to 330 and 1, to get
330 = 1 x 330 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 330 is 1
Notice that 1 = HCF(330,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 991 > 1, we apply the division lemma to 991 and 1, to get
991 = 1 x 991 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 991 is 1
Notice that 1 = HCF(991,1) .
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Frequently Asked Questions on HCF of 497, 306, 330, 991 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 497, 306, 330, 991?
Answer: HCF of 497, 306, 330, 991 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 497, 306, 330, 991 using Euclid's Algorithm?
Answer: For arbitrary numbers 497, 306, 330, 991 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.