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 8700, 9448 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 8700, 9448 is 4 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 8700, 9448 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 8700, 9448 is 4.
HCF(8700, 9448) = 4
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8700, 9448 is 4.
Step 1: Since 9448 > 8700, we apply the division lemma to 9448 and 8700, to get
9448 = 8700 x 1 + 748
Step 2: Since the reminder 8700 ≠ 0, we apply division lemma to 748 and 8700, to get
8700 = 748 x 11 + 472
Step 3: We consider the new divisor 748 and the new remainder 472, and apply the division lemma to get
748 = 472 x 1 + 276
We consider the new divisor 472 and the new remainder 276,and apply the division lemma to get
472 = 276 x 1 + 196
We consider the new divisor 276 and the new remainder 196,and apply the division lemma to get
276 = 196 x 1 + 80
We consider the new divisor 196 and the new remainder 80,and apply the division lemma to get
196 = 80 x 2 + 36
We consider the new divisor 80 and the new remainder 36,and apply the division lemma to get
80 = 36 x 2 + 8
We consider the new divisor 36 and the new remainder 8,and apply the division lemma to get
36 = 8 x 4 + 4
We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get
8 = 4 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 8700 and 9448 is 4
Notice that 4 = HCF(8,4) = HCF(36,8) = HCF(80,36) = HCF(196,80) = HCF(276,196) = HCF(472,276) = HCF(748,472) = HCF(8700,748) = HCF(9448,8700) .
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 8700, 9448?
Answer: HCF of 8700, 9448 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8700, 9448 using Euclid's Algorithm?
Answer: For arbitrary numbers 8700, 9448 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.