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 891, 621, 499, 910 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 891, 621, 499, 910 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 891, 621, 499, 910 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 891, 621, 499, 910 is 1.
HCF(891, 621, 499, 910) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 891, 621, 499, 910 is 1.
Step 1: Since 891 > 621, we apply the division lemma to 891 and 621, to get
891 = 621 x 1 + 270
Step 2: Since the reminder 621 ≠ 0, we apply division lemma to 270 and 621, to get
621 = 270 x 2 + 81
Step 3: We consider the new divisor 270 and the new remainder 81, and apply the division lemma to get
270 = 81 x 3 + 27
We consider the new divisor 81 and the new remainder 27, and apply the division lemma to get
81 = 27 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 27, the HCF of 891 and 621 is 27
Notice that 27 = HCF(81,27) = HCF(270,81) = HCF(621,270) = HCF(891,621) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 499 > 27, we apply the division lemma to 499 and 27, to get
499 = 27 x 18 + 13
Step 2: Since the reminder 27 ≠ 0, we apply division lemma to 13 and 27, to get
27 = 13 x 2 + 1
Step 3: We consider the new divisor 13 and the new remainder 1, and apply the division lemma to get
13 = 1 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 27 and 499 is 1
Notice that 1 = HCF(13,1) = HCF(27,13) = HCF(499,27) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 910 > 1, we apply the division lemma to 910 and 1, to get
910 = 1 x 910 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 910 is 1
Notice that 1 = HCF(910,1) .
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 891, 621, 499, 910?
Answer: HCF of 891, 621, 499, 910 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 891, 621, 499, 910 using Euclid's Algorithm?
Answer: For arbitrary numbers 891, 621, 499, 910 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.