Highest Common Factor of 727, 1441, 1220 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 727, 1441, 1220 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 727, 1441, 1220 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 727, 1441, 1220 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 727, 1441, 1220 is 1.
HCF(727, 1441, 1220) = 1
HCF of 727, 1441, 1220 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 727, 1441, 1220 is 1.
Highest Common Factor of 727,1441,1220 is 1
Step 1: Since 1441 > 727, we apply the division lemma to 1441 and 727, to get
1441 = 727 x 1 + 714
Step 2: Since the reminder 727 ≠ 0, we apply division lemma to 714 and 727, to get
727 = 714 x 1 + 13
Step 3: We consider the new divisor 714 and the new remainder 13, and apply the division lemma to get
714 = 13 x 54 + 12
We consider the new divisor 13 and the new remainder 12,and apply the division lemma to get
13 = 12 x 1 + 1
We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get
12 = 1 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 727 and 1441 is 1
Notice that 1 = HCF(12,1) = HCF(13,12) = HCF(714,13) = HCF(727,714) = HCF(1441,727) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 1220 > 1, we apply the division lemma to 1220 and 1, to get
1220 = 1 x 1220 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 1220 is 1
Notice that 1 = HCF(1220,1) .
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Frequently Asked Questions on HCF of 727, 1441, 1220 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 727, 1441, 1220?
Answer: HCF of 727, 1441, 1220 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 727, 1441, 1220 using Euclid's Algorithm?
Answer: For arbitrary numbers 727, 1441, 1220 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
