Highest Common Factor of 972, 324, 261 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 972, 324, 261 i.e. 9 the largest integer that leaves a remainder zero for all numbers.
HCF of 972, 324, 261 is 9 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 972, 324, 261 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 972, 324, 261 is 9.
HCF(972, 324, 261) = 9
HCF of 972, 324, 261 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 972, 324, 261 is 9.
Highest Common Factor of 972,324,261 is 9
Step 1: Since 972 > 324, we apply the division lemma to 972 and 324, to get
972 = 324 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 324, the HCF of 972 and 324 is 324
Notice that 324 = HCF(972,324) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 324 > 261, we apply the division lemma to 324 and 261, to get
324 = 261 x 1 + 63
Step 2: Since the reminder 261 ≠ 0, we apply division lemma to 63 and 261, to get
261 = 63 x 4 + 9
Step 3: We consider the new divisor 63 and the new remainder 9, and apply the division lemma to get
63 = 9 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 324 and 261 is 9
Notice that 9 = HCF(63,9) = HCF(261,63) = HCF(324,261) .
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Frequently Asked Questions on HCF of 972, 324, 261 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 972, 324, 261?
Answer: HCF of 972, 324, 261 is 9 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 972, 324, 261 using Euclid's Algorithm?
Answer: For arbitrary numbers 972, 324, 261 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.