Highest Common Factor of 7825, 6888 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 7825, 6888 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7825, 6888 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 7825, 6888 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 7825, 6888 is 1.
HCF(7825, 6888) = 1
HCF of 7825, 6888 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7825, 6888 is 1.
Highest Common Factor of 7825,6888 is 1
Step 1: Since 7825 > 6888, we apply the division lemma to 7825 and 6888, to get
7825 = 6888 x 1 + 937
Step 2: Since the reminder 6888 ≠ 0, we apply division lemma to 937 and 6888, to get
6888 = 937 x 7 + 329
Step 3: We consider the new divisor 937 and the new remainder 329, and apply the division lemma to get
937 = 329 x 2 + 279
We consider the new divisor 329 and the new remainder 279,and apply the division lemma to get
329 = 279 x 1 + 50
We consider the new divisor 279 and the new remainder 50,and apply the division lemma to get
279 = 50 x 5 + 29
We consider the new divisor 50 and the new remainder 29,and apply the division lemma to get
50 = 29 x 1 + 21
We consider the new divisor 29 and the new remainder 21,and apply the division lemma to get
29 = 21 x 1 + 8
We consider the new divisor 21 and the new remainder 8,and apply the division lemma to get
21 = 8 x 2 + 5
We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get
8 = 5 x 1 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7825 and 6888 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(21,8) = HCF(29,21) = HCF(50,29) = HCF(279,50) = HCF(329,279) = HCF(937,329) = HCF(6888,937) = HCF(7825,6888) .
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Frequently Asked Questions on HCF of 7825, 6888 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 7825, 6888?
Answer: HCF of 7825, 6888 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7825, 6888 using Euclid's Algorithm?
Answer: For arbitrary numbers 7825, 6888 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.