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 9438, 907 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9438, 907 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 9438, 907 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 9438, 907 is 1.
HCF(9438, 907) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9438, 907 is 1.
Step 1: Since 9438 > 907, we apply the division lemma to 9438 and 907, to get
9438 = 907 x 10 + 368
Step 2: Since the reminder 907 ≠ 0, we apply division lemma to 368 and 907, to get
907 = 368 x 2 + 171
Step 3: We consider the new divisor 368 and the new remainder 171, and apply the division lemma to get
368 = 171 x 2 + 26
We consider the new divisor 171 and the new remainder 26,and apply the division lemma to get
171 = 26 x 6 + 15
We consider the new divisor 26 and the new remainder 15,and apply the division lemma to get
26 = 15 x 1 + 11
We consider the new divisor 15 and the new remainder 11,and apply the division lemma to get
15 = 11 x 1 + 4
We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get
11 = 4 x 2 + 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 9438 and 907 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(15,11) = HCF(26,15) = HCF(171,26) = HCF(368,171) = HCF(907,368) = HCF(9438,907) .
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 9438, 907?
Answer: HCF of 9438, 907 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9438, 907 using Euclid's Algorithm?
Answer: For arbitrary numbers 9438, 907 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.