Highest Common Factor of 702, 9526, 6106 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 702, 9526, 6106 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 702, 9526, 6106 is 2 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 702, 9526, 6106 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 702, 9526, 6106 is 2.
HCF(702, 9526, 6106) = 2
HCF of 702, 9526, 6106 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 702, 9526, 6106 is 2.
Highest Common Factor of 702,9526,6106 is 2
Step 1: Since 9526 > 702, we apply the division lemma to 9526 and 702, to get
9526 = 702 x 13 + 400
Step 2: Since the reminder 702 ≠ 0, we apply division lemma to 400 and 702, to get
702 = 400 x 1 + 302
Step 3: We consider the new divisor 400 and the new remainder 302, and apply the division lemma to get
400 = 302 x 1 + 98
We consider the new divisor 302 and the new remainder 98,and apply the division lemma to get
302 = 98 x 3 + 8
We consider the new divisor 98 and the new remainder 8,and apply the division lemma to get
98 = 8 x 12 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 702 and 9526 is 2
Notice that 2 = HCF(8,2) = HCF(98,8) = HCF(302,98) = HCF(400,302) = HCF(702,400) = HCF(9526,702) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 6106 > 2, we apply the division lemma to 6106 and 2, to get
6106 = 2 x 3053 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 6106 is 2
Notice that 2 = HCF(6106,2) .
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Frequently Asked Questions on HCF of 702, 9526, 6106 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 702, 9526, 6106?
Answer: HCF of 702, 9526, 6106 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 702, 9526, 6106 using Euclid's Algorithm?
Answer: For arbitrary numbers 702, 9526, 6106 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.