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 910, 47821 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 910, 47821 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 910, 47821 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 910, 47821 is 1.
HCF(910, 47821) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 910, 47821 is 1.
Step 1: Since 47821 > 910, we apply the division lemma to 47821 and 910, to get
47821 = 910 x 52 + 501
Step 2: Since the reminder 910 ≠ 0, we apply division lemma to 501 and 910, to get
910 = 501 x 1 + 409
Step 3: We consider the new divisor 501 and the new remainder 409, and apply the division lemma to get
501 = 409 x 1 + 92
We consider the new divisor 409 and the new remainder 92,and apply the division lemma to get
409 = 92 x 4 + 41
We consider the new divisor 92 and the new remainder 41,and apply the division lemma to get
92 = 41 x 2 + 10
We consider the new divisor 41 and the new remainder 10,and apply the division lemma to get
41 = 10 x 4 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 910 and 47821 is 1
Notice that 1 = HCF(10,1) = HCF(41,10) = HCF(92,41) = HCF(409,92) = HCF(501,409) = HCF(910,501) = HCF(47821,910) .
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 910, 47821?
Answer: HCF of 910, 47821 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 910, 47821 using Euclid's Algorithm?
Answer: For arbitrary numbers 910, 47821 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.