Highest Common Factor of 8603, 7483, 56978 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 8603, 7483, 56978 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8603, 7483, 56978 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 8603, 7483, 56978 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 8603, 7483, 56978 is 1.
HCF(8603, 7483, 56978) = 1
HCF of 8603, 7483, 56978 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8603, 7483, 56978 is 1.
Highest Common Factor of 8603,7483,56978 is 1
Step 1: Since 8603 > 7483, we apply the division lemma to 8603 and 7483, to get
8603 = 7483 x 1 + 1120
Step 2: Since the reminder 7483 ≠ 0, we apply division lemma to 1120 and 7483, to get
7483 = 1120 x 6 + 763
Step 3: We consider the new divisor 1120 and the new remainder 763, and apply the division lemma to get
1120 = 763 x 1 + 357
We consider the new divisor 763 and the new remainder 357,and apply the division lemma to get
763 = 357 x 2 + 49
We consider the new divisor 357 and the new remainder 49,and apply the division lemma to get
357 = 49 x 7 + 14
We consider the new divisor 49 and the new remainder 14,and apply the division lemma to get
49 = 14 x 3 + 7
We consider the new divisor 14 and the new remainder 7,and apply the division lemma to get
14 = 7 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 8603 and 7483 is 7
Notice that 7 = HCF(14,7) = HCF(49,14) = HCF(357,49) = HCF(763,357) = HCF(1120,763) = HCF(7483,1120) = HCF(8603,7483) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 56978 > 7, we apply the division lemma to 56978 and 7, to get
56978 = 7 x 8139 + 5
Step 2: Since the reminder 7 ≠ 0, we apply division lemma to 5 and 7, to get
7 = 5 x 1 + 2
Step 3: We consider the new divisor 5 and the new remainder 2, and apply the division lemma to get
5 = 2 x 2 + 1
We consider the new divisor 2 and the new remainder 1, and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7 and 56978 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(56978,7) .
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Frequently Asked Questions on HCF of 8603, 7483, 56978 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 8603, 7483, 56978?
Answer: HCF of 8603, 7483, 56978 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8603, 7483, 56978 using Euclid's Algorithm?
Answer: For arbitrary numbers 8603, 7483, 56978 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
