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 372, 123, 892, 46 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 372, 123, 892, 46 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 372, 123, 892, 46 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 372, 123, 892, 46 is 1.
HCF(372, 123, 892, 46) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 372, 123, 892, 46 is 1.
Step 1: Since 372 > 123, we apply the division lemma to 372 and 123, to get
372 = 123 x 3 + 3
Step 2: Since the reminder 123 ≠ 0, we apply division lemma to 3 and 123, to get
123 = 3 x 41 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 372 and 123 is 3
Notice that 3 = HCF(123,3) = HCF(372,123) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 892 > 3, we apply the division lemma to 892 and 3, to get
892 = 3 x 297 + 1
Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, 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 3 and 892 is 1
Notice that 1 = HCF(3,1) = HCF(892,3) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 46 > 1, we apply the division lemma to 46 and 1, to get
46 = 1 x 46 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 46 is 1
Notice that 1 = HCF(46,1) .
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 372, 123, 892, 46?
Answer: HCF of 372, 123, 892, 46 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 372, 123, 892, 46 using Euclid's Algorithm?
Answer: For arbitrary numbers 372, 123, 892, 46 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.