Highest Common Factor of 941, 12720 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 941, 12720 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 941, 12720 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 941, 12720 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 941, 12720 is 1.
HCF(941, 12720) = 1
HCF of 941, 12720 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 941, 12720 is 1.
Highest Common Factor of 941,12720 is 1
Step 1: Since 12720 > 941, we apply the division lemma to 12720 and 941, to get
12720 = 941 x 13 + 487
Step 2: Since the reminder 941 ≠ 0, we apply division lemma to 487 and 941, to get
941 = 487 x 1 + 454
Step 3: We consider the new divisor 487 and the new remainder 454, and apply the division lemma to get
487 = 454 x 1 + 33
We consider the new divisor 454 and the new remainder 33,and apply the division lemma to get
454 = 33 x 13 + 25
We consider the new divisor 33 and the new remainder 25,and apply the division lemma to get
33 = 25 x 1 + 8
We consider the new divisor 25 and the new remainder 8,and apply the division lemma to get
25 = 8 x 3 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 941 and 12720 is 1
Notice that 1 = HCF(8,1) = HCF(25,8) = HCF(33,25) = HCF(454,33) = HCF(487,454) = HCF(941,487) = HCF(12720,941) .
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Frequently Asked Questions on HCF of 941, 12720 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 941, 12720?
Answer: HCF of 941, 12720 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 941, 12720 using Euclid's Algorithm?
Answer: For arbitrary numbers 941, 12720 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.