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 1272, 4362 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 1272, 4362 is 6 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 1272, 4362 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 1272, 4362 is 6.
HCF(1272, 4362) = 6
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1272, 4362 is 6.
Step 1: Since 4362 > 1272, we apply the division lemma to 4362 and 1272, to get
4362 = 1272 x 3 + 546
Step 2: Since the reminder 1272 ≠ 0, we apply division lemma to 546 and 1272, to get
1272 = 546 x 2 + 180
Step 3: We consider the new divisor 546 and the new remainder 180, and apply the division lemma to get
546 = 180 x 3 + 6
We consider the new divisor 180 and the new remainder 6, and apply the division lemma to get
180 = 6 x 30 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 1272 and 4362 is 6
Notice that 6 = HCF(180,6) = HCF(546,180) = HCF(1272,546) = HCF(4362,1272) .
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 1272, 4362?
Answer: HCF of 1272, 4362 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1272, 4362 using Euclid's Algorithm?
Answer: For arbitrary numbers 1272, 4362 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.