Highest Common Factor of 981, 621, 888 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 981, 621, 888 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 981, 621, 888 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 981, 621, 888 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 981, 621, 888 is 3.
HCF(981, 621, 888) = 3
HCF of 981, 621, 888 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 981, 621, 888 is 3.
Highest Common Factor of 981,621,888 is 3
Step 1: Since 981 > 621, we apply the division lemma to 981 and 621, to get
981 = 621 x 1 + 360
Step 2: Since the reminder 621 ≠ 0, we apply division lemma to 360 and 621, to get
621 = 360 x 1 + 261
Step 3: We consider the new divisor 360 and the new remainder 261, and apply the division lemma to get
360 = 261 x 1 + 99
We consider the new divisor 261 and the new remainder 99,and apply the division lemma to get
261 = 99 x 2 + 63
We consider the new divisor 99 and the new remainder 63,and apply the division lemma to get
99 = 63 x 1 + 36
We consider the new divisor 63 and the new remainder 36,and apply the division lemma to get
63 = 36 x 1 + 27
We consider the new divisor 36 and the new remainder 27,and apply the division lemma to get
36 = 27 x 1 + 9
We consider the new divisor 27 and the new remainder 9,and apply the division lemma to get
27 = 9 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 981 and 621 is 9
Notice that 9 = HCF(27,9) = HCF(36,27) = HCF(63,36) = HCF(99,63) = HCF(261,99) = HCF(360,261) = HCF(621,360) = HCF(981,621) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 888 > 9, we apply the division lemma to 888 and 9, to get
888 = 9 x 98 + 6
Step 2: Since the reminder 9 ≠ 0, we apply division lemma to 6 and 9, to get
9 = 6 x 1 + 3
Step 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 9 and 888 is 3
Notice that 3 = HCF(6,3) = HCF(9,6) = HCF(888,9) .
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Frequently Asked Questions on HCF of 981, 621, 888 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 981, 621, 888?
Answer: HCF of 981, 621, 888 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 981, 621, 888 using Euclid's Algorithm?
Answer: For arbitrary numbers 981, 621, 888 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.