Highest Common Factor of 865, 627, 889, 498 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 865, 627, 889, 498 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 865, 627, 889, 498 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 865, 627, 889, 498 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 865, 627, 889, 498 is 1.
HCF(865, 627, 889, 498) = 1
HCF of 865, 627, 889, 498 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 865, 627, 889, 498 is 1.
Highest Common Factor of 865,627,889,498 is 1
Step 1: Since 865 > 627, we apply the division lemma to 865 and 627, to get
865 = 627 x 1 + 238
Step 2: Since the reminder 627 ≠ 0, we apply division lemma to 238 and 627, to get
627 = 238 x 2 + 151
Step 3: We consider the new divisor 238 and the new remainder 151, and apply the division lemma to get
238 = 151 x 1 + 87
We consider the new divisor 151 and the new remainder 87,and apply the division lemma to get
151 = 87 x 1 + 64
We consider the new divisor 87 and the new remainder 64,and apply the division lemma to get
87 = 64 x 1 + 23
We consider the new divisor 64 and the new remainder 23,and apply the division lemma to get
64 = 23 x 2 + 18
We consider the new divisor 23 and the new remainder 18,and apply the division lemma to get
23 = 18 x 1 + 5
We consider the new divisor 18 and the new remainder 5,and apply the division lemma to get
18 = 5 x 3 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 865 and 627 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(18,5) = HCF(23,18) = HCF(64,23) = HCF(87,64) = HCF(151,87) = HCF(238,151) = HCF(627,238) = HCF(865,627) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 889 > 1, we apply the division lemma to 889 and 1, to get
889 = 1 x 889 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 889 is 1
Notice that 1 = HCF(889,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 498 > 1, we apply the division lemma to 498 and 1, to get
498 = 1 x 498 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 498 is 1
Notice that 1 = HCF(498,1) .
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Frequently Asked Questions on HCF of 865, 627, 889, 498 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 865, 627, 889, 498?
Answer: HCF of 865, 627, 889, 498 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 865, 627, 889, 498 using Euclid's Algorithm?
Answer: For arbitrary numbers 865, 627, 889, 498 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.