Highest Common Factor of 960, 597, 534, 147 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 960, 597, 534, 147 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 960, 597, 534, 147 is 3 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 960, 597, 534, 147 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 960, 597, 534, 147 is 3.
HCF(960, 597, 534, 147) = 3
HCF of 960, 597, 534, 147 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 960, 597, 534, 147 is 3.
Highest Common Factor of 960,597,534,147 is 3
Step 1: Since 960 > 597, we apply the division lemma to 960 and 597, to get
960 = 597 x 1 + 363
Step 2: Since the reminder 597 ≠ 0, we apply division lemma to 363 and 597, to get
597 = 363 x 1 + 234
Step 3: We consider the new divisor 363 and the new remainder 234, and apply the division lemma to get
363 = 234 x 1 + 129
We consider the new divisor 234 and the new remainder 129,and apply the division lemma to get
234 = 129 x 1 + 105
We consider the new divisor 129 and the new remainder 105,and apply the division lemma to get
129 = 105 x 1 + 24
We consider the new divisor 105 and the new remainder 24,and apply the division lemma to get
105 = 24 x 4 + 9
We consider the new divisor 24 and the new remainder 9,and apply the division lemma to get
24 = 9 x 2 + 6
We consider the new divisor 9 and the new remainder 6,and apply the division lemma to get
9 = 6 x 1 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 960 and 597 is 3
Notice that 3 = HCF(6,3) = HCF(9,6) = HCF(24,9) = HCF(105,24) = HCF(129,105) = HCF(234,129) = HCF(363,234) = HCF(597,363) = HCF(960,597) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 534 > 3, we apply the division lemma to 534 and 3, to get
534 = 3 x 178 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3 and 534 is 3
Notice that 3 = HCF(534,3) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 147 > 3, we apply the division lemma to 147 and 3, to get
147 = 3 x 49 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3 and 147 is 3
Notice that 3 = HCF(147,3) .
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Frequently Asked Questions on HCF of 960, 597, 534, 147 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 960, 597, 534, 147?
Answer: HCF of 960, 597, 534, 147 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 960, 597, 534, 147 using Euclid's Algorithm?
Answer: For arbitrary numbers 960, 597, 534, 147 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.