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 9845, 1370 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 9845, 1370 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 9845, 1370 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 9845, 1370 is 5.
HCF(9845, 1370) = 5
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9845, 1370 is 5.
Step 1: Since 9845 > 1370, we apply the division lemma to 9845 and 1370, to get
9845 = 1370 x 7 + 255
Step 2: Since the reminder 1370 ≠ 0, we apply division lemma to 255 and 1370, to get
1370 = 255 x 5 + 95
Step 3: We consider the new divisor 255 and the new remainder 95, and apply the division lemma to get
255 = 95 x 2 + 65
We consider the new divisor 95 and the new remainder 65,and apply the division lemma to get
95 = 65 x 1 + 30
We consider the new divisor 65 and the new remainder 30,and apply the division lemma to get
65 = 30 x 2 + 5
We consider the new divisor 30 and the new remainder 5,and apply the division lemma to get
30 = 5 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 9845 and 1370 is 5
Notice that 5 = HCF(30,5) = HCF(65,30) = HCF(95,65) = HCF(255,95) = HCF(1370,255) = HCF(9845,1370) .
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 9845, 1370?
Answer: HCF of 9845, 1370 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9845, 1370 using Euclid's Algorithm?
Answer: For arbitrary numbers 9845, 1370 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.