Highest Common Factor of 9075, 7629, 90799 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 9075, 7629, 90799 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9075, 7629, 90799 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 9075, 7629, 90799 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 9075, 7629, 90799 is 1.
HCF(9075, 7629, 90799) = 1
HCF of 9075, 7629, 90799 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9075, 7629, 90799 is 1.
Highest Common Factor of 9075,7629,90799 is 1
Step 1: Since 9075 > 7629, we apply the division lemma to 9075 and 7629, to get
9075 = 7629 x 1 + 1446
Step 2: Since the reminder 7629 ≠ 0, we apply division lemma to 1446 and 7629, to get
7629 = 1446 x 5 + 399
Step 3: We consider the new divisor 1446 and the new remainder 399, and apply the division lemma to get
1446 = 399 x 3 + 249
We consider the new divisor 399 and the new remainder 249,and apply the division lemma to get
399 = 249 x 1 + 150
We consider the new divisor 249 and the new remainder 150,and apply the division lemma to get
249 = 150 x 1 + 99
We consider the new divisor 150 and the new remainder 99,and apply the division lemma to get
150 = 99 x 1 + 51
We consider the new divisor 99 and the new remainder 51,and apply the division lemma to get
99 = 51 x 1 + 48
We consider the new divisor 51 and the new remainder 48,and apply the division lemma to get
51 = 48 x 1 + 3
We consider the new divisor 48 and the new remainder 3,and apply the division lemma to get
48 = 3 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 9075 and 7629 is 3
Notice that 3 = HCF(48,3) = HCF(51,48) = HCF(99,51) = HCF(150,99) = HCF(249,150) = HCF(399,249) = HCF(1446,399) = HCF(7629,1446) = HCF(9075,7629) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 90799 > 3, we apply the division lemma to 90799 and 3, to get
90799 = 3 x 30266 + 1
Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, 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 3 and 90799 is 1
Notice that 1 = HCF(3,1) = HCF(90799,3) .
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Frequently Asked Questions on HCF of 9075, 7629, 90799 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 9075, 7629, 90799?
Answer: HCF of 9075, 7629, 90799 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9075, 7629, 90799 using Euclid's Algorithm?
Answer: For arbitrary numbers 9075, 7629, 90799 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.