Highest Common Factor of 885, 237, 520, 60 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, 237, 520, 60 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 885, 237, 520, 60 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, 237, 520, 60 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, 237, 520, 60 is 1.
HCF(885, 237, 520, 60) = 1
HCF of 885, 237, 520, 60 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, 237, 520, 60 is 1.
Highest Common Factor of 885,237,520,60 is 1
Step 1: Since 885 > 237, we apply the division lemma to 885 and 237, to get
885 = 237 x 3 + 174
Step 2: Since the reminder 237 ≠ 0, we apply division lemma to 174 and 237, to get
237 = 174 x 1 + 63
Step 3: We consider the new divisor 174 and the new remainder 63, and apply the division lemma to get
174 = 63 x 2 + 48
We consider the new divisor 63 and the new remainder 48,and apply the division lemma to get
63 = 48 x 1 + 15
We consider the new divisor 48 and the new remainder 15,and apply the division lemma to get
48 = 15 x 3 + 3
We consider the new divisor 15 and the new remainder 3,and apply the division lemma to get
15 = 3 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 885 and 237 is 3
Notice that 3 = HCF(15,3) = HCF(48,15) = HCF(63,48) = HCF(174,63) = HCF(237,174) = HCF(885,237) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 520 > 3, we apply the division lemma to 520 and 3, to get
520 = 3 x 173 + 1
Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3 and 520 is 1
Notice that 1 = HCF(3,1) = HCF(520,3) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 60 > 1, we apply the division lemma to 60 and 1, to get
60 = 1 x 60 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 60 is 1
Notice that 1 = HCF(60,1) .
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Frequently Asked Questions on HCF of 885, 237, 520, 60 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, 237, 520, 60?
Answer: HCF of 885, 237, 520, 60 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 885, 237, 520, 60 using Euclid's Algorithm?
Answer: For arbitrary numbers 885, 237, 520, 60 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.