Highest Common Factor of 855, 7026, 9098 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 855, 7026, 9098 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 855, 7026, 9098 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 855, 7026, 9098 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 855, 7026, 9098 is 1.
HCF(855, 7026, 9098) = 1
HCF of 855, 7026, 9098 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 855, 7026, 9098 is 1.
Highest Common Factor of 855,7026,9098 is 1
Step 1: Since 7026 > 855, we apply the division lemma to 7026 and 855, to get
7026 = 855 x 8 + 186
Step 2: Since the reminder 855 ≠ 0, we apply division lemma to 186 and 855, to get
855 = 186 x 4 + 111
Step 3: We consider the new divisor 186 and the new remainder 111, and apply the division lemma to get
186 = 111 x 1 + 75
We consider the new divisor 111 and the new remainder 75,and apply the division lemma to get
111 = 75 x 1 + 36
We consider the new divisor 75 and the new remainder 36,and apply the division lemma to get
75 = 36 x 2 + 3
We consider the new divisor 36 and the new remainder 3,and apply the division lemma to get
36 = 3 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 855 and 7026 is 3
Notice that 3 = HCF(36,3) = HCF(75,36) = HCF(111,75) = HCF(186,111) = HCF(855,186) = HCF(7026,855) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 9098 > 3, we apply the division lemma to 9098 and 3, to get
9098 = 3 x 3032 + 2
Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 2 and 3, to get
3 = 2 x 1 + 1
Step 3: 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 3 and 9098 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(9098,3) .
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Frequently Asked Questions on HCF of 855, 7026, 9098 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 855, 7026, 9098?
Answer: HCF of 855, 7026, 9098 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 855, 7026, 9098 using Euclid's Algorithm?
Answer: For arbitrary numbers 855, 7026, 9098 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
