Highest Common Factor of 1968, 5087 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 1968, 5087 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1968, 5087 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 1968, 5087 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 1968, 5087 is 1.
HCF(1968, 5087) = 1
HCF of 1968, 5087 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1968, 5087 is 1.
Highest Common Factor of 1968,5087 is 1
Step 1: Since 5087 > 1968, we apply the division lemma to 5087 and 1968, to get
5087 = 1968 x 2 + 1151
Step 2: Since the reminder 1968 ≠ 0, we apply division lemma to 1151 and 1968, to get
1968 = 1151 x 1 + 817
Step 3: We consider the new divisor 1151 and the new remainder 817, and apply the division lemma to get
1151 = 817 x 1 + 334
We consider the new divisor 817 and the new remainder 334,and apply the division lemma to get
817 = 334 x 2 + 149
We consider the new divisor 334 and the new remainder 149,and apply the division lemma to get
334 = 149 x 2 + 36
We consider the new divisor 149 and the new remainder 36,and apply the division lemma to get
149 = 36 x 4 + 5
We consider the new divisor 36 and the new remainder 5,and apply the division lemma to get
36 = 5 x 7 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1968 and 5087 is 1
Notice that 1 = HCF(5,1) = HCF(36,5) = HCF(149,36) = HCF(334,149) = HCF(817,334) = HCF(1151,817) = HCF(1968,1151) = HCF(5087,1968) .
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Frequently Asked Questions on HCF of 1968, 5087 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 1968, 5087?
Answer: HCF of 1968, 5087 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1968, 5087 using Euclid's Algorithm?
Answer: For arbitrary numbers 1968, 5087 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.