Highest Common Factor of 927, 394, 467, 938 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 927, 394, 467, 938 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 927, 394, 467, 938 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 927, 394, 467, 938 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 927, 394, 467, 938 is 1.
HCF(927, 394, 467, 938) = 1
HCF of 927, 394, 467, 938 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 927, 394, 467, 938 is 1.
Highest Common Factor of 927,394,467,938 is 1
Step 1: Since 927 > 394, we apply the division lemma to 927 and 394, to get
927 = 394 x 2 + 139
Step 2: Since the reminder 394 ≠ 0, we apply division lemma to 139 and 394, to get
394 = 139 x 2 + 116
Step 3: We consider the new divisor 139 and the new remainder 116, and apply the division lemma to get
139 = 116 x 1 + 23
We consider the new divisor 116 and the new remainder 23,and apply the division lemma to get
116 = 23 x 5 + 1
We consider the new divisor 23 and the new remainder 1,and apply the division lemma to get
23 = 1 x 23 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 927 and 394 is 1
Notice that 1 = HCF(23,1) = HCF(116,23) = HCF(139,116) = HCF(394,139) = HCF(927,394) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 467 > 1, we apply the division lemma to 467 and 1, to get
467 = 1 x 467 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 467 is 1
Notice that 1 = HCF(467,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 938 > 1, we apply the division lemma to 938 and 1, to get
938 = 1 x 938 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 938 is 1
Notice that 1 = HCF(938,1) .
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Frequently Asked Questions on HCF of 927, 394, 467, 938 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 927, 394, 467, 938?
Answer: HCF of 927, 394, 467, 938 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 927, 394, 467, 938 using Euclid's Algorithm?
Answer: For arbitrary numbers 927, 394, 467, 938 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.