Highest Common Factor of 191, 210, 506, 44 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 191, 210, 506, 44 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 191, 210, 506, 44 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 191, 210, 506, 44 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 191, 210, 506, 44 is 1.
HCF(191, 210, 506, 44) = 1
HCF of 191, 210, 506, 44 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 191, 210, 506, 44 is 1.
Highest Common Factor of 191,210,506,44 is 1
Step 1: Since 210 > 191, we apply the division lemma to 210 and 191, to get
210 = 191 x 1 + 19
Step 2: Since the reminder 191 ≠ 0, we apply division lemma to 19 and 191, to get
191 = 19 x 10 + 1
Step 3: We consider the new divisor 19 and the new remainder 1, and apply the division lemma to get
19 = 1 x 19 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 191 and 210 is 1
Notice that 1 = HCF(19,1) = HCF(191,19) = HCF(210,191) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 506 > 1, we apply the division lemma to 506 and 1, to get
506 = 1 x 506 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 506 is 1
Notice that 1 = HCF(506,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 44 > 1, we apply the division lemma to 44 and 1, to get
44 = 1 x 44 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 44 is 1
Notice that 1 = HCF(44,1) .
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Frequently Asked Questions on HCF of 191, 210, 506, 44 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 191, 210, 506, 44?
Answer: HCF of 191, 210, 506, 44 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 191, 210, 506, 44 using Euclid's Algorithm?
Answer: For arbitrary numbers 191, 210, 506, 44 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.