Highest Common Factor of 712, 981, 931, 842 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 712, 981, 931, 842 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 712, 981, 931, 842 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 712, 981, 931, 842 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 712, 981, 931, 842 is 1.
HCF(712, 981, 931, 842) = 1
HCF of 712, 981, 931, 842 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 712, 981, 931, 842 is 1.
Highest Common Factor of 712,981,931,842 is 1
Step 1: Since 981 > 712, we apply the division lemma to 981 and 712, to get
981 = 712 x 1 + 269
Step 2: Since the reminder 712 ≠ 0, we apply division lemma to 269 and 712, to get
712 = 269 x 2 + 174
Step 3: We consider the new divisor 269 and the new remainder 174, and apply the division lemma to get
269 = 174 x 1 + 95
We consider the new divisor 174 and the new remainder 95,and apply the division lemma to get
174 = 95 x 1 + 79
We consider the new divisor 95 and the new remainder 79,and apply the division lemma to get
95 = 79 x 1 + 16
We consider the new divisor 79 and the new remainder 16,and apply the division lemma to get
79 = 16 x 4 + 15
We consider the new divisor 16 and the new remainder 15,and apply the division lemma to get
16 = 15 x 1 + 1
We consider the new divisor 15 and the new remainder 1,and apply the division lemma to get
15 = 1 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 712 and 981 is 1
Notice that 1 = HCF(15,1) = HCF(16,15) = HCF(79,16) = HCF(95,79) = HCF(174,95) = HCF(269,174) = HCF(712,269) = HCF(981,712) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 931 > 1, we apply the division lemma to 931 and 1, to get
931 = 1 x 931 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 931 is 1
Notice that 1 = HCF(931,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 842 > 1, we apply the division lemma to 842 and 1, to get
842 = 1 x 842 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 842 is 1
Notice that 1 = HCF(842,1) .
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Frequently Asked Questions on HCF of 712, 981, 931, 842 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 712, 981, 931, 842?
Answer: HCF of 712, 981, 931, 842 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 712, 981, 931, 842 using Euclid's Algorithm?
Answer: For arbitrary numbers 712, 981, 931, 842 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.