Highest Common Factor of 8448, 6925 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 8448, 6925 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8448, 6925 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 8448, 6925 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 8448, 6925 is 1.
HCF(8448, 6925) = 1
HCF of 8448, 6925 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8448, 6925 is 1.
Highest Common Factor of 8448,6925 is 1
Step 1: Since 8448 > 6925, we apply the division lemma to 8448 and 6925, to get
8448 = 6925 x 1 + 1523
Step 2: Since the reminder 6925 ≠ 0, we apply division lemma to 1523 and 6925, to get
6925 = 1523 x 4 + 833
Step 3: We consider the new divisor 1523 and the new remainder 833, and apply the division lemma to get
1523 = 833 x 1 + 690
We consider the new divisor 833 and the new remainder 690,and apply the division lemma to get
833 = 690 x 1 + 143
We consider the new divisor 690 and the new remainder 143,and apply the division lemma to get
690 = 143 x 4 + 118
We consider the new divisor 143 and the new remainder 118,and apply the division lemma to get
143 = 118 x 1 + 25
We consider the new divisor 118 and the new remainder 25,and apply the division lemma to get
118 = 25 x 4 + 18
We consider the new divisor 25 and the new remainder 18,and apply the division lemma to get
25 = 18 x 1 + 7
We consider the new divisor 18 and the new remainder 7,and apply the division lemma to get
18 = 7 x 2 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8448 and 6925 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(18,7) = HCF(25,18) = HCF(118,25) = HCF(143,118) = HCF(690,143) = HCF(833,690) = HCF(1523,833) = HCF(6925,1523) = HCF(8448,6925) .
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Frequently Asked Questions on HCF of 8448, 6925 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 8448, 6925?
Answer: HCF of 8448, 6925 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8448, 6925 using Euclid's Algorithm?
Answer: For arbitrary numbers 8448, 6925 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
