Highest Common Factor of 261, 502, 219, 388 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 261, 502, 219, 388 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 261, 502, 219, 388 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 261, 502, 219, 388 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 261, 502, 219, 388 is 1.
HCF(261, 502, 219, 388) = 1
HCF of 261, 502, 219, 388 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 261, 502, 219, 388 is 1.
Highest Common Factor of 261,502,219,388 is 1
Step 1: Since 502 > 261, we apply the division lemma to 502 and 261, to get
502 = 261 x 1 + 241
Step 2: Since the reminder 261 ≠ 0, we apply division lemma to 241 and 261, to get
261 = 241 x 1 + 20
Step 3: We consider the new divisor 241 and the new remainder 20, and apply the division lemma to get
241 = 20 x 12 + 1
We consider the new divisor 20 and the new remainder 1, and apply the division lemma to get
20 = 1 x 20 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 261 and 502 is 1
Notice that 1 = HCF(20,1) = HCF(241,20) = HCF(261,241) = HCF(502,261) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 219 > 1, we apply the division lemma to 219 and 1, to get
219 = 1 x 219 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 219 is 1
Notice that 1 = HCF(219,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 388 > 1, we apply the division lemma to 388 and 1, to get
388 = 1 x 388 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 388 is 1
Notice that 1 = HCF(388,1) .
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Frequently Asked Questions on HCF of 261, 502, 219, 388 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 261, 502, 219, 388?
Answer: HCF of 261, 502, 219, 388 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 261, 502, 219, 388 using Euclid's Algorithm?
Answer: For arbitrary numbers 261, 502, 219, 388 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.