Highest Common Factor of 5397, 8750 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 5397, 8750 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 5397, 8750 is 7 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 5397, 8750 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 5397, 8750 is 7.
HCF(5397, 8750) = 7
HCF of 5397, 8750 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5397, 8750 is 7.
Highest Common Factor of 5397,8750 is 7
Step 1: Since 8750 > 5397, we apply the division lemma to 8750 and 5397, to get
8750 = 5397 x 1 + 3353
Step 2: Since the reminder 5397 ≠ 0, we apply division lemma to 3353 and 5397, to get
5397 = 3353 x 1 + 2044
Step 3: We consider the new divisor 3353 and the new remainder 2044, and apply the division lemma to get
3353 = 2044 x 1 + 1309
We consider the new divisor 2044 and the new remainder 1309,and apply the division lemma to get
2044 = 1309 x 1 + 735
We consider the new divisor 1309 and the new remainder 735,and apply the division lemma to get
1309 = 735 x 1 + 574
We consider the new divisor 735 and the new remainder 574,and apply the division lemma to get
735 = 574 x 1 + 161
We consider the new divisor 574 and the new remainder 161,and apply the division lemma to get
574 = 161 x 3 + 91
We consider the new divisor 161 and the new remainder 91,and apply the division lemma to get
161 = 91 x 1 + 70
We consider the new divisor 91 and the new remainder 70,and apply the division lemma to get
91 = 70 x 1 + 21
We consider the new divisor 70 and the new remainder 21,and apply the division lemma to get
70 = 21 x 3 + 7
We consider the new divisor 21 and the new remainder 7,and apply the division lemma to get
21 = 7 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 5397 and 8750 is 7
Notice that 7 = HCF(21,7) = HCF(70,21) = HCF(91,70) = HCF(161,91) = HCF(574,161) = HCF(735,574) = HCF(1309,735) = HCF(2044,1309) = HCF(3353,2044) = HCF(5397,3353) = HCF(8750,5397) .
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Frequently Asked Questions on HCF of 5397, 8750 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 5397, 8750?
Answer: HCF of 5397, 8750 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5397, 8750 using Euclid's Algorithm?
Answer: For arbitrary numbers 5397, 8750 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.