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 368, 62, 847, 653 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 368, 62, 847, 653 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 368, 62, 847, 653 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 368, 62, 847, 653 is 1.
HCF(368, 62, 847, 653) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 368, 62, 847, 653 is 1.
Step 1: Since 368 > 62, we apply the division lemma to 368 and 62, to get
368 = 62 x 5 + 58
Step 2: Since the reminder 62 ≠ 0, we apply division lemma to 58 and 62, to get
62 = 58 x 1 + 4
Step 3: We consider the new divisor 58 and the new remainder 4, and apply the division lemma to get
58 = 4 x 14 + 2
We consider the new divisor 4 and the new remainder 2, and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 368 and 62 is 2
Notice that 2 = HCF(4,2) = HCF(58,4) = HCF(62,58) = HCF(368,62) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 847 > 2, we apply the division lemma to 847 and 2, to get
847 = 2 x 423 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2 and 847 is 1
Notice that 1 = HCF(2,1) = HCF(847,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 653 > 1, we apply the division lemma to 653 and 1, to get
653 = 1 x 653 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 653 is 1
Notice that 1 = HCF(653,1) .
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 368, 62, 847, 653?
Answer: HCF of 368, 62, 847, 653 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 368, 62, 847, 653 using Euclid's Algorithm?
Answer: For arbitrary numbers 368, 62, 847, 653 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.