Highest Common Factor of 841, 619, 497, 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 841, 619, 497, 388 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 841, 619, 497, 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 841, 619, 497, 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 841, 619, 497, 388 is 1.
HCF(841, 619, 497, 388) = 1
HCF of 841, 619, 497, 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 841, 619, 497, 388 is 1.
Highest Common Factor of 841,619,497,388 is 1
Step 1: Since 841 > 619, we apply the division lemma to 841 and 619, to get
841 = 619 x 1 + 222
Step 2: Since the reminder 619 ≠ 0, we apply division lemma to 222 and 619, to get
619 = 222 x 2 + 175
Step 3: We consider the new divisor 222 and the new remainder 175, and apply the division lemma to get
222 = 175 x 1 + 47
We consider the new divisor 175 and the new remainder 47,and apply the division lemma to get
175 = 47 x 3 + 34
We consider the new divisor 47 and the new remainder 34,and apply the division lemma to get
47 = 34 x 1 + 13
We consider the new divisor 34 and the new remainder 13,and apply the division lemma to get
34 = 13 x 2 + 8
We consider the new divisor 13 and the new remainder 8,and apply the division lemma to get
13 = 8 x 1 + 5
We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get
8 = 5 x 1 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 841 and 619 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(13,8) = HCF(34,13) = HCF(47,34) = HCF(175,47) = HCF(222,175) = HCF(619,222) = HCF(841,619) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 497 > 1, we apply the division lemma to 497 and 1, to get
497 = 1 x 497 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 497 is 1
Notice that 1 = HCF(497,1) .
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 841, 619, 497, 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 841, 619, 497, 388?
Answer: HCF of 841, 619, 497, 388 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 841, 619, 497, 388 using Euclid's Algorithm?
Answer: For arbitrary numbers 841, 619, 497, 388 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.