Highest Common Factor of 399, 712, 128, 910 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 399, 712, 128, 910 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 399, 712, 128, 910 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 399, 712, 128, 910 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 399, 712, 128, 910 is 1.
HCF(399, 712, 128, 910) = 1
HCF of 399, 712, 128, 910 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 399, 712, 128, 910 is 1.
Highest Common Factor of 399,712,128,910 is 1
Step 1: Since 712 > 399, we apply the division lemma to 712 and 399, to get
712 = 399 x 1 + 313
Step 2: Since the reminder 399 ≠ 0, we apply division lemma to 313 and 399, to get
399 = 313 x 1 + 86
Step 3: We consider the new divisor 313 and the new remainder 86, and apply the division lemma to get
313 = 86 x 3 + 55
We consider the new divisor 86 and the new remainder 55,and apply the division lemma to get
86 = 55 x 1 + 31
We consider the new divisor 55 and the new remainder 31,and apply the division lemma to get
55 = 31 x 1 + 24
We consider the new divisor 31 and the new remainder 24,and apply the division lemma to get
31 = 24 x 1 + 7
We consider the new divisor 24 and the new remainder 7,and apply the division lemma to get
24 = 7 x 3 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 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 399 and 712 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(24,7) = HCF(31,24) = HCF(55,31) = HCF(86,55) = HCF(313,86) = HCF(399,313) = HCF(712,399) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 128 > 1, we apply the division lemma to 128 and 1, to get
128 = 1 x 128 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 128 is 1
Notice that 1 = HCF(128,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 910 > 1, we apply the division lemma to 910 and 1, to get
910 = 1 x 910 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 910 is 1
Notice that 1 = HCF(910,1) .
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Frequently Asked Questions on HCF of 399, 712, 128, 910 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 399, 712, 128, 910?
Answer: HCF of 399, 712, 128, 910 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 399, 712, 128, 910 using Euclid's Algorithm?
Answer: For arbitrary numbers 399, 712, 128, 910 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.