Highest Common Factor of 4088, 6825 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 4088, 6825 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 4088, 6825 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 4088, 6825 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 4088, 6825 is 7.
HCF(4088, 6825) = 7
HCF of 4088, 6825 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4088, 6825 is 7.
Highest Common Factor of 4088,6825 is 7
Step 1: Since 6825 > 4088, we apply the division lemma to 6825 and 4088, to get
6825 = 4088 x 1 + 2737
Step 2: Since the reminder 4088 ≠ 0, we apply division lemma to 2737 and 4088, to get
4088 = 2737 x 1 + 1351
Step 3: We consider the new divisor 2737 and the new remainder 1351, and apply the division lemma to get
2737 = 1351 x 2 + 35
We consider the new divisor 1351 and the new remainder 35,and apply the division lemma to get
1351 = 35 x 38 + 21
We consider the new divisor 35 and the new remainder 21,and apply the division lemma to get
35 = 21 x 1 + 14
We consider the new divisor 21 and the new remainder 14,and apply the division lemma to get
21 = 14 x 1 + 7
We consider the new divisor 14 and the new remainder 7,and apply the division lemma to get
14 = 7 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 4088 and 6825 is 7
Notice that 7 = HCF(14,7) = HCF(21,14) = HCF(35,21) = HCF(1351,35) = HCF(2737,1351) = HCF(4088,2737) = HCF(6825,4088) .
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Frequently Asked Questions on HCF of 4088, 6825 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 4088, 6825?
Answer: HCF of 4088, 6825 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4088, 6825 using Euclid's Algorithm?
Answer: For arbitrary numbers 4088, 6825 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.