Highest Common Factor of 7098, 3662 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 7098, 3662 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 7098, 3662 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 7098, 3662 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 7098, 3662 is 2.
HCF(7098, 3662) = 2
HCF of 7098, 3662 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7098, 3662 is 2.
Highest Common Factor of 7098,3662 is 2
Step 1: Since 7098 > 3662, we apply the division lemma to 7098 and 3662, to get
7098 = 3662 x 1 + 3436
Step 2: Since the reminder 3662 ≠ 0, we apply division lemma to 3436 and 3662, to get
3662 = 3436 x 1 + 226
Step 3: We consider the new divisor 3436 and the new remainder 226, and apply the division lemma to get
3436 = 226 x 15 + 46
We consider the new divisor 226 and the new remainder 46,and apply the division lemma to get
226 = 46 x 4 + 42
We consider the new divisor 46 and the new remainder 42,and apply the division lemma to get
46 = 42 x 1 + 4
We consider the new divisor 42 and the new remainder 4,and apply the division lemma to get
42 = 4 x 10 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 7098 and 3662 is 2
Notice that 2 = HCF(4,2) = HCF(42,4) = HCF(46,42) = HCF(226,46) = HCF(3436,226) = HCF(3662,3436) = HCF(7098,3662) .
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Frequently Asked Questions on HCF of 7098, 3662 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 7098, 3662?
Answer: HCF of 7098, 3662 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7098, 3662 using Euclid's Algorithm?
Answer: For arbitrary numbers 7098, 3662 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.