Highest Common Factor of 327, 781, 949, 93 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 327, 781, 949, 93 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 327, 781, 949, 93 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 327, 781, 949, 93 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 327, 781, 949, 93 is 1.
HCF(327, 781, 949, 93) = 1
HCF of 327, 781, 949, 93 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 327, 781, 949, 93 is 1.
Highest Common Factor of 327,781,949,93 is 1
Step 1: Since 781 > 327, we apply the division lemma to 781 and 327, to get
781 = 327 x 2 + 127
Step 2: Since the reminder 327 ≠ 0, we apply division lemma to 127 and 327, to get
327 = 127 x 2 + 73
Step 3: We consider the new divisor 127 and the new remainder 73, and apply the division lemma to get
127 = 73 x 1 + 54
We consider the new divisor 73 and the new remainder 54,and apply the division lemma to get
73 = 54 x 1 + 19
We consider the new divisor 54 and the new remainder 19,and apply the division lemma to get
54 = 19 x 2 + 16
We consider the new divisor 19 and the new remainder 16,and apply the division lemma to get
19 = 16 x 1 + 3
We consider the new divisor 16 and the new remainder 3,and apply the division lemma to get
16 = 3 x 5 + 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 327 and 781 is 1
Notice that 1 = HCF(3,1) = HCF(16,3) = HCF(19,16) = HCF(54,19) = HCF(73,54) = HCF(127,73) = HCF(327,127) = HCF(781,327) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 949 > 1, we apply the division lemma to 949 and 1, to get
949 = 1 x 949 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 949 is 1
Notice that 1 = HCF(949,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 93 > 1, we apply the division lemma to 93 and 1, to get
93 = 1 x 93 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 93 is 1
Notice that 1 = HCF(93,1) .
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Frequently Asked Questions on HCF of 327, 781, 949, 93 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 327, 781, 949, 93?
Answer: HCF of 327, 781, 949, 93 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 327, 781, 949, 93 using Euclid's Algorithm?
Answer: For arbitrary numbers 327, 781, 949, 93 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.