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 8759, 3448 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8759, 3448 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 8759, 3448 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 8759, 3448 is 1.
HCF(8759, 3448) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8759, 3448 is 1.
Step 1: Since 8759 > 3448, we apply the division lemma to 8759 and 3448, to get
8759 = 3448 x 2 + 1863
Step 2: Since the reminder 3448 ≠ 0, we apply division lemma to 1863 and 3448, to get
3448 = 1863 x 1 + 1585
Step 3: We consider the new divisor 1863 and the new remainder 1585, and apply the division lemma to get
1863 = 1585 x 1 + 278
We consider the new divisor 1585 and the new remainder 278,and apply the division lemma to get
1585 = 278 x 5 + 195
We consider the new divisor 278 and the new remainder 195,and apply the division lemma to get
278 = 195 x 1 + 83
We consider the new divisor 195 and the new remainder 83,and apply the division lemma to get
195 = 83 x 2 + 29
We consider the new divisor 83 and the new remainder 29,and apply the division lemma to get
83 = 29 x 2 + 25
We consider the new divisor 29 and the new remainder 25,and apply the division lemma to get
29 = 25 x 1 + 4
We consider the new divisor 25 and the new remainder 4,and apply the division lemma to get
25 = 4 x 6 + 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 8759 and 3448 is 1
Notice that 1 = HCF(4,1) = HCF(25,4) = HCF(29,25) = HCF(83,29) = HCF(195,83) = HCF(278,195) = HCF(1585,278) = HCF(1863,1585) = HCF(3448,1863) = HCF(8759,3448) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 8759, 3448?
Answer: HCF of 8759, 3448 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8759, 3448 using Euclid's Algorithm?
Answer: For arbitrary numbers 8759, 3448 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.