Highest Common Factor of 6347, 7098 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 6347, 7098 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6347, 7098 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 6347, 7098 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 6347, 7098 is 1.
HCF(6347, 7098) = 1
HCF of 6347, 7098 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6347, 7098 is 1.
Highest Common Factor of 6347,7098 is 1
Step 1: Since 7098 > 6347, we apply the division lemma to 7098 and 6347, to get
7098 = 6347 x 1 + 751
Step 2: Since the reminder 6347 ≠ 0, we apply division lemma to 751 and 6347, to get
6347 = 751 x 8 + 339
Step 3: We consider the new divisor 751 and the new remainder 339, and apply the division lemma to get
751 = 339 x 2 + 73
We consider the new divisor 339 and the new remainder 73,and apply the division lemma to get
339 = 73 x 4 + 47
We consider the new divisor 73 and the new remainder 47,and apply the division lemma to get
73 = 47 x 1 + 26
We consider the new divisor 47 and the new remainder 26,and apply the division lemma to get
47 = 26 x 1 + 21
We consider the new divisor 26 and the new remainder 21,and apply the division lemma to get
26 = 21 x 1 + 5
We consider the new divisor 21 and the new remainder 5,and apply the division lemma to get
21 = 5 x 4 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6347 and 7098 is 1
Notice that 1 = HCF(5,1) = HCF(21,5) = HCF(26,21) = HCF(47,26) = HCF(73,47) = HCF(339,73) = HCF(751,339) = HCF(6347,751) = HCF(7098,6347) .
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Frequently Asked Questions on HCF of 6347, 7098 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 6347, 7098?
Answer: HCF of 6347, 7098 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6347, 7098 using Euclid's Algorithm?
Answer: For arbitrary numbers 6347, 7098 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.