Highest Common Factor of 615, 5228, 9916 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 615, 5228, 9916 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 615, 5228, 9916 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 615, 5228, 9916 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 615, 5228, 9916 is 1.
HCF(615, 5228, 9916) = 1
HCF of 615, 5228, 9916 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 615, 5228, 9916 is 1.
Highest Common Factor of 615,5228,9916 is 1
Step 1: Since 5228 > 615, we apply the division lemma to 5228 and 615, to get
5228 = 615 x 8 + 308
Step 2: Since the reminder 615 ≠ 0, we apply division lemma to 308 and 615, to get
615 = 308 x 1 + 307
Step 3: We consider the new divisor 308 and the new remainder 307, and apply the division lemma to get
308 = 307 x 1 + 1
We consider the new divisor 307 and the new remainder 1, and apply the division lemma to get
307 = 1 x 307 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 615 and 5228 is 1
Notice that 1 = HCF(307,1) = HCF(308,307) = HCF(615,308) = HCF(5228,615) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 9916 > 1, we apply the division lemma to 9916 and 1, to get
9916 = 1 x 9916 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 9916 is 1
Notice that 1 = HCF(9916,1) .
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Frequently Asked Questions on HCF of 615, 5228, 9916 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 615, 5228, 9916?
Answer: HCF of 615, 5228, 9916 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 615, 5228, 9916 using Euclid's Algorithm?
Answer: For arbitrary numbers 615, 5228, 9916 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.