Highest Common Factor of 1827, 5369, 61418 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 1827, 5369, 61418 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 1827, 5369, 61418 is 7 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 1827, 5369, 61418 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 1827, 5369, 61418 is 7.
HCF(1827, 5369, 61418) = 7
HCF of 1827, 5369, 61418 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1827, 5369, 61418 is 7.
Highest Common Factor of 1827,5369,61418 is 7
Step 1: Since 5369 > 1827, we apply the division lemma to 5369 and 1827, to get
5369 = 1827 x 2 + 1715
Step 2: Since the reminder 1827 ≠ 0, we apply division lemma to 1715 and 1827, to get
1827 = 1715 x 1 + 112
Step 3: We consider the new divisor 1715 and the new remainder 112, and apply the division lemma to get
1715 = 112 x 15 + 35
We consider the new divisor 112 and the new remainder 35,and apply the division lemma to get
112 = 35 x 3 + 7
We consider the new divisor 35 and the new remainder 7,and apply the division lemma to get
35 = 7 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 1827 and 5369 is 7
Notice that 7 = HCF(35,7) = HCF(112,35) = HCF(1715,112) = HCF(1827,1715) = HCF(5369,1827) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 61418 > 7, we apply the division lemma to 61418 and 7, to get
61418 = 7 x 8774 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 7 and 61418 is 7
Notice that 7 = HCF(61418,7) .
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Frequently Asked Questions on HCF of 1827, 5369, 61418 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 1827, 5369, 61418?
Answer: HCF of 1827, 5369, 61418 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1827, 5369, 61418 using Euclid's Algorithm?
Answer: For arbitrary numbers 1827, 5369, 61418 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
