Highest Common Factor of 1335, 4272 using Euclid's algorithm
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 1335, 4272 i.e. 267 the largest integer that leaves a remainder zero for all numbers.
HCF of 1335, 4272 is 267 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 1335, 4272 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 1335, 4272 is 267.
HCF(1335, 4272) = 267
HCF of 1335, 4272 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1335, 4272 is 267.
Highest Common Factor of 1335,4272 is 267
Step 1: Since 4272 > 1335, we apply the division lemma to 4272 and 1335, to get
4272 = 1335 x 3 + 267
Step 2: Since the reminder 1335 ≠ 0, we apply division lemma to 267 and 1335, to get
1335 = 267 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 267, the HCF of 1335 and 4272 is 267
Notice that 267 = HCF(1335,267) = HCF(4272,1335) .
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Frequently Asked Questions on HCF of 1335, 4272 using Euclid's Algorithm
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 1335, 4272?
Answer: HCF of 1335, 4272 is 267 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1335, 4272 using Euclid's Algorithm?
Answer: For arbitrary numbers 1335, 4272 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.