Highest Common Factor of 8499, 7246 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 8499, 7246 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8499, 7246 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 8499, 7246 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 8499, 7246 is 1.
HCF(8499, 7246) = 1
HCF of 8499, 7246 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8499, 7246 is 1.
Highest Common Factor of 8499,7246 is 1
Step 1: Since 8499 > 7246, we apply the division lemma to 8499 and 7246, to get
8499 = 7246 x 1 + 1253
Step 2: Since the reminder 7246 ≠ 0, we apply division lemma to 1253 and 7246, to get
7246 = 1253 x 5 + 981
Step 3: We consider the new divisor 1253 and the new remainder 981, and apply the division lemma to get
1253 = 981 x 1 + 272
We consider the new divisor 981 and the new remainder 272,and apply the division lemma to get
981 = 272 x 3 + 165
We consider the new divisor 272 and the new remainder 165,and apply the division lemma to get
272 = 165 x 1 + 107
We consider the new divisor 165 and the new remainder 107,and apply the division lemma to get
165 = 107 x 1 + 58
We consider the new divisor 107 and the new remainder 58,and apply the division lemma to get
107 = 58 x 1 + 49
We consider the new divisor 58 and the new remainder 49,and apply the division lemma to get
58 = 49 x 1 + 9
We consider the new divisor 49 and the new remainder 9,and apply the division lemma to get
49 = 9 x 5 + 4
We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get
9 = 4 x 2 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8499 and 7246 is 1
Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(49,9) = HCF(58,49) = HCF(107,58) = HCF(165,107) = HCF(272,165) = HCF(981,272) = HCF(1253,981) = HCF(7246,1253) = HCF(8499,7246) .
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Frequently Asked Questions on HCF of 8499, 7246 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 8499, 7246?
Answer: HCF of 8499, 7246 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8499, 7246 using Euclid's Algorithm?
Answer: For arbitrary numbers 8499, 7246 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
