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 124, 621, 972, 229 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 124, 621, 972, 229 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 124, 621, 972, 229 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 124, 621, 972, 229 is 1.
HCF(124, 621, 972, 229) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 124, 621, 972, 229 is 1.
Step 1: Since 621 > 124, we apply the division lemma to 621 and 124, to get
621 = 124 x 5 + 1
Step 2: Since the reminder 124 ≠ 0, we apply division lemma to 1 and 124, to get
124 = 1 x 124 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 124 and 621 is 1
Notice that 1 = HCF(124,1) = HCF(621,124) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 972 > 1, we apply the division lemma to 972 and 1, to get
972 = 1 x 972 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 972 is 1
Notice that 1 = HCF(972,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 229 > 1, we apply the division lemma to 229 and 1, to get
229 = 1 x 229 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 229 is 1
Notice that 1 = HCF(229,1) .
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 124, 621, 972, 229?
Answer: HCF of 124, 621, 972, 229 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 124, 621, 972, 229 using Euclid's Algorithm?
Answer: For arbitrary numbers 124, 621, 972, 229 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.