Highest Common Factor of 2992, 4712, 88759 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 2992, 4712, 88759 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2992, 4712, 88759 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 2992, 4712, 88759 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 2992, 4712, 88759 is 1.
HCF(2992, 4712, 88759) = 1
HCF of 2992, 4712, 88759 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2992, 4712, 88759 is 1.
Highest Common Factor of 2992,4712,88759 is 1
Step 1: Since 4712 > 2992, we apply the division lemma to 4712 and 2992, to get
4712 = 2992 x 1 + 1720
Step 2: Since the reminder 2992 ≠ 0, we apply division lemma to 1720 and 2992, to get
2992 = 1720 x 1 + 1272
Step 3: We consider the new divisor 1720 and the new remainder 1272, and apply the division lemma to get
1720 = 1272 x 1 + 448
We consider the new divisor 1272 and the new remainder 448,and apply the division lemma to get
1272 = 448 x 2 + 376
We consider the new divisor 448 and the new remainder 376,and apply the division lemma to get
448 = 376 x 1 + 72
We consider the new divisor 376 and the new remainder 72,and apply the division lemma to get
376 = 72 x 5 + 16
We consider the new divisor 72 and the new remainder 16,and apply the division lemma to get
72 = 16 x 4 + 8
We consider the new divisor 16 and the new remainder 8,and apply the division lemma to get
16 = 8 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 2992 and 4712 is 8
Notice that 8 = HCF(16,8) = HCF(72,16) = HCF(376,72) = HCF(448,376) = HCF(1272,448) = HCF(1720,1272) = HCF(2992,1720) = HCF(4712,2992) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 88759 > 8, we apply the division lemma to 88759 and 8, to get
88759 = 8 x 11094 + 7
Step 2: Since the reminder 8 ≠ 0, we apply division lemma to 7 and 8, to get
8 = 7 x 1 + 1
Step 3: We consider the new divisor 7 and the new remainder 1, and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8 and 88759 is 1
Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(88759,8) .
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Frequently Asked Questions on HCF of 2992, 4712, 88759 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 2992, 4712, 88759?
Answer: HCF of 2992, 4712, 88759 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2992, 4712, 88759 using Euclid's Algorithm?
Answer: For arbitrary numbers 2992, 4712, 88759 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.