Highest Common Factor of 468, 7860, 8988 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 468, 7860, 8988 i.e. 12 the largest integer that leaves a remainder zero for all numbers.
HCF of 468, 7860, 8988 is 12 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 468, 7860, 8988 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 468, 7860, 8988 is 12.
HCF(468, 7860, 8988) = 12
HCF of 468, 7860, 8988 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 468, 7860, 8988 is 12.
Highest Common Factor of 468,7860,8988 is 12
Step 1: Since 7860 > 468, we apply the division lemma to 7860 and 468, to get
7860 = 468 x 16 + 372
Step 2: Since the reminder 468 ≠ 0, we apply division lemma to 372 and 468, to get
468 = 372 x 1 + 96
Step 3: We consider the new divisor 372 and the new remainder 96, and apply the division lemma to get
372 = 96 x 3 + 84
We consider the new divisor 96 and the new remainder 84,and apply the division lemma to get
96 = 84 x 1 + 12
We consider the new divisor 84 and the new remainder 12,and apply the division lemma to get
84 = 12 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 12, the HCF of 468 and 7860 is 12
Notice that 12 = HCF(84,12) = HCF(96,84) = HCF(372,96) = HCF(468,372) = HCF(7860,468) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 8988 > 12, we apply the division lemma to 8988 and 12, to get
8988 = 12 x 749 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 12, the HCF of 12 and 8988 is 12
Notice that 12 = HCF(8988,12) .
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Frequently Asked Questions on HCF of 468, 7860, 8988 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 468, 7860, 8988?
Answer: HCF of 468, 7860, 8988 is 12 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 468, 7860, 8988 using Euclid's Algorithm?
Answer: For arbitrary numbers 468, 7860, 8988 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.