Highest Common Factor of 1748, 7080, 86895 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 1748, 7080, 86895 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1748, 7080, 86895 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 1748, 7080, 86895 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 1748, 7080, 86895 is 1.
HCF(1748, 7080, 86895) = 1
HCF of 1748, 7080, 86895 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1748, 7080, 86895 is 1.
Highest Common Factor of 1748,7080,86895 is 1
Step 1: Since 7080 > 1748, we apply the division lemma to 7080 and 1748, to get
7080 = 1748 x 4 + 88
Step 2: Since the reminder 1748 ≠ 0, we apply division lemma to 88 and 1748, to get
1748 = 88 x 19 + 76
Step 3: We consider the new divisor 88 and the new remainder 76, and apply the division lemma to get
88 = 76 x 1 + 12
We consider the new divisor 76 and the new remainder 12,and apply the division lemma to get
76 = 12 x 6 + 4
We consider the new divisor 12 and the new remainder 4,and apply the division lemma to get
12 = 4 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 1748 and 7080 is 4
Notice that 4 = HCF(12,4) = HCF(76,12) = HCF(88,76) = HCF(1748,88) = HCF(7080,1748) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 86895 > 4, we apply the division lemma to 86895 and 4, to get
86895 = 4 x 21723 + 3
Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 3 and 4, to get
4 = 3 x 1 + 1
Step 3: We consider the new divisor 3 and the new remainder 1, and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4 and 86895 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(86895,4) .
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Frequently Asked Questions on HCF of 1748, 7080, 86895 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 1748, 7080, 86895?
Answer: HCF of 1748, 7080, 86895 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1748, 7080, 86895 using Euclid's Algorithm?
Answer: For arbitrary numbers 1748, 7080, 86895 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.