Highest Common Factor of 8435, 7418 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 8435, 7418 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8435, 7418 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 8435, 7418 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 8435, 7418 is 1.
HCF(8435, 7418) = 1
HCF of 8435, 7418 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8435, 7418 is 1.
Highest Common Factor of 8435,7418 is 1
Step 1: Since 8435 > 7418, we apply the division lemma to 8435 and 7418, to get
8435 = 7418 x 1 + 1017
Step 2: Since the reminder 7418 ≠ 0, we apply division lemma to 1017 and 7418, to get
7418 = 1017 x 7 + 299
Step 3: We consider the new divisor 1017 and the new remainder 299, and apply the division lemma to get
1017 = 299 x 3 + 120
We consider the new divisor 299 and the new remainder 120,and apply the division lemma to get
299 = 120 x 2 + 59
We consider the new divisor 120 and the new remainder 59,and apply the division lemma to get
120 = 59 x 2 + 2
We consider the new divisor 59 and the new remainder 2,and apply the division lemma to get
59 = 2 x 29 + 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 8435 and 7418 is 1
Notice that 1 = HCF(2,1) = HCF(59,2) = HCF(120,59) = HCF(299,120) = HCF(1017,299) = HCF(7418,1017) = HCF(8435,7418) .
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Frequently Asked Questions on HCF of 8435, 7418 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 8435, 7418?
Answer: HCF of 8435, 7418 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8435, 7418 using Euclid's Algorithm?
Answer: For arbitrary numbers 8435, 7418 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.