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 9545, 1070 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 9545, 1070 is 5 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 9545, 1070 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 9545, 1070 is 5.
HCF(9545, 1070) = 5
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9545, 1070 is 5.
Step 1: Since 9545 > 1070, we apply the division lemma to 9545 and 1070, to get
9545 = 1070 x 8 + 985
Step 2: Since the reminder 1070 ≠ 0, we apply division lemma to 985 and 1070, to get
1070 = 985 x 1 + 85
Step 3: We consider the new divisor 985 and the new remainder 85, and apply the division lemma to get
985 = 85 x 11 + 50
We consider the new divisor 85 and the new remainder 50,and apply the division lemma to get
85 = 50 x 1 + 35
We consider the new divisor 50 and the new remainder 35,and apply the division lemma to get
50 = 35 x 1 + 15
We consider the new divisor 35 and the new remainder 15,and apply the division lemma to get
35 = 15 x 2 + 5
We consider the new divisor 15 and the new remainder 5,and apply the division lemma to get
15 = 5 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 9545 and 1070 is 5
Notice that 5 = HCF(15,5) = HCF(35,15) = HCF(50,35) = HCF(85,50) = HCF(985,85) = HCF(1070,985) = HCF(9545,1070) .
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 9545, 1070?
Answer: HCF of 9545, 1070 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9545, 1070 using Euclid's Algorithm?
Answer: For arbitrary numbers 9545, 1070 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.