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 9849, 4355 i.e. 67 the largest integer that leaves a remainder zero for all numbers.
HCF of 9849, 4355 is 67 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 9849, 4355 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 9849, 4355 is 67.
HCF(9849, 4355) = 67
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9849, 4355 is 67.
Step 1: Since 9849 > 4355, we apply the division lemma to 9849 and 4355, to get
9849 = 4355 x 2 + 1139
Step 2: Since the reminder 4355 ≠ 0, we apply division lemma to 1139 and 4355, to get
4355 = 1139 x 3 + 938
Step 3: We consider the new divisor 1139 and the new remainder 938, and apply the division lemma to get
1139 = 938 x 1 + 201
We consider the new divisor 938 and the new remainder 201,and apply the division lemma to get
938 = 201 x 4 + 134
We consider the new divisor 201 and the new remainder 134,and apply the division lemma to get
201 = 134 x 1 + 67
We consider the new divisor 134 and the new remainder 67,and apply the division lemma to get
134 = 67 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 67, the HCF of 9849 and 4355 is 67
Notice that 67 = HCF(134,67) = HCF(201,134) = HCF(938,201) = HCF(1139,938) = HCF(4355,1139) = HCF(9849,4355) .
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 9849, 4355?
Answer: HCF of 9849, 4355 is 67 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9849, 4355 using Euclid's Algorithm?
Answer: For arbitrary numbers 9849, 4355 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.