Highest Common Factor of 938, 541 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 938, 541 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 938, 541 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 938, 541 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 938, 541 is 1.
HCF(938, 541) = 1
HCF of 938, 541 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 938, 541 is 1.
Highest Common Factor of 938,541 is 1
Step 1: Since 938 > 541, we apply the division lemma to 938 and 541, to get
938 = 541 x 1 + 397
Step 2: Since the reminder 541 ≠ 0, we apply division lemma to 397 and 541, to get
541 = 397 x 1 + 144
Step 3: We consider the new divisor 397 and the new remainder 144, and apply the division lemma to get
397 = 144 x 2 + 109
We consider the new divisor 144 and the new remainder 109,and apply the division lemma to get
144 = 109 x 1 + 35
We consider the new divisor 109 and the new remainder 35,and apply the division lemma to get
109 = 35 x 3 + 4
We consider the new divisor 35 and the new remainder 4,and apply the division lemma to get
35 = 4 x 8 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 938 and 541 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(35,4) = HCF(109,35) = HCF(144,109) = HCF(397,144) = HCF(541,397) = HCF(938,541) .
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Frequently Asked Questions on HCF of 938, 541 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 938, 541?
Answer: HCF of 938, 541 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 938, 541 using Euclid's Algorithm?
Answer: For arbitrary numbers 938, 541 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
