Highest Common Factor of 356, 841, 20, 619 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 356, 841, 20, 619 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 356, 841, 20, 619 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 356, 841, 20, 619 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 356, 841, 20, 619 is 1.
HCF(356, 841, 20, 619) = 1
HCF of 356, 841, 20, 619 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 356, 841, 20, 619 is 1.
Highest Common Factor of 356,841,20,619 is 1
Step 1: Since 841 > 356, we apply the division lemma to 841 and 356, to get
841 = 356 x 2 + 129
Step 2: Since the reminder 356 ≠ 0, we apply division lemma to 129 and 356, to get
356 = 129 x 2 + 98
Step 3: We consider the new divisor 129 and the new remainder 98, and apply the division lemma to get
129 = 98 x 1 + 31
We consider the new divisor 98 and the new remainder 31,and apply the division lemma to get
98 = 31 x 3 + 5
We consider the new divisor 31 and the new remainder 5,and apply the division lemma to get
31 = 5 x 6 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 356 and 841 is 1
Notice that 1 = HCF(5,1) = HCF(31,5) = HCF(98,31) = HCF(129,98) = HCF(356,129) = HCF(841,356) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 20 > 1, we apply the division lemma to 20 and 1, 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 1 and 20 is 1
Notice that 1 = HCF(20,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 619 > 1, we apply the division lemma to 619 and 1, to get
619 = 1 x 619 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 619 is 1
Notice that 1 = HCF(619,1) .
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Frequently Asked Questions on HCF of 356, 841, 20, 619 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 356, 841, 20, 619?
Answer: HCF of 356, 841, 20, 619 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 356, 841, 20, 619 using Euclid's Algorithm?
Answer: For arbitrary numbers 356, 841, 20, 619 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.