Highest Common Factor of 885, 460, 573, 138 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 885, 460, 573, 138 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 885, 460, 573, 138 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 885, 460, 573, 138 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 885, 460, 573, 138 is 1.
HCF(885, 460, 573, 138) = 1
HCF of 885, 460, 573, 138 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 885, 460, 573, 138 is 1.
Highest Common Factor of 885,460,573,138 is 1
Step 1: Since 885 > 460, we apply the division lemma to 885 and 460, to get
885 = 460 x 1 + 425
Step 2: Since the reminder 460 ≠ 0, we apply division lemma to 425 and 460, to get
460 = 425 x 1 + 35
Step 3: We consider the new divisor 425 and the new remainder 35, and apply the division lemma to get
425 = 35 x 12 + 5
We consider the new divisor 35 and the new remainder 5, and apply the division lemma to get
35 = 5 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 885 and 460 is 5
Notice that 5 = HCF(35,5) = HCF(425,35) = HCF(460,425) = HCF(885,460) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 573 > 5, we apply the division lemma to 573 and 5, to get
573 = 5 x 114 + 3
Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 3 and 5, to get
5 = 3 x 1 + 2
Step 3: 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 5 and 573 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(573,5) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 138 > 1, we apply the division lemma to 138 and 1, to get
138 = 1 x 138 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 138 is 1
Notice that 1 = HCF(138,1) .
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Frequently Asked Questions on HCF of 885, 460, 573, 138 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 885, 460, 573, 138?
Answer: HCF of 885, 460, 573, 138 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 885, 460, 573, 138 using Euclid's Algorithm?
Answer: For arbitrary numbers 885, 460, 573, 138 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
