Highest Common Factor of 615, 883, 444 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, 883, 444 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 615, 883, 444 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, 883, 444 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, 883, 444 is 1.
HCF(615, 883, 444) = 1
HCF of 615, 883, 444 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, 883, 444 is 1.
Highest Common Factor of 615,883,444 is 1
Step 1: Since 883 > 615, we apply the division lemma to 883 and 615, to get
883 = 615 x 1 + 268
Step 2: Since the reminder 615 ≠ 0, we apply division lemma to 268 and 615, to get
615 = 268 x 2 + 79
Step 3: We consider the new divisor 268 and the new remainder 79, and apply the division lemma to get
268 = 79 x 3 + 31
We consider the new divisor 79 and the new remainder 31,and apply the division lemma to get
79 = 31 x 2 + 17
We consider the new divisor 31 and the new remainder 17,and apply the division lemma to get
31 = 17 x 1 + 14
We consider the new divisor 17 and the new remainder 14,and apply the division lemma to get
17 = 14 x 1 + 3
We consider the new divisor 14 and the new remainder 3,and apply the division lemma to get
14 = 3 x 4 + 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 615 and 883 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(14,3) = HCF(17,14) = HCF(31,17) = HCF(79,31) = HCF(268,79) = HCF(615,268) = HCF(883,615) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 444 > 1, we apply the division lemma to 444 and 1, to get
444 = 1 x 444 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 444 is 1
Notice that 1 = HCF(444,1) .
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Frequently Asked Questions on HCF of 615, 883, 444 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, 883, 444?
Answer: HCF of 615, 883, 444 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 615, 883, 444 using Euclid's Algorithm?
Answer: For arbitrary numbers 615, 883, 444 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.