Highest Common Factor of 733, 870, 308 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 733, 870, 308 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 733, 870, 308 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 733, 870, 308 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 733, 870, 308 is 1.
HCF(733, 870, 308) = 1
HCF of 733, 870, 308 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 733, 870, 308 is 1.
Highest Common Factor of 733,870,308 is 1
Step 1: Since 870 > 733, we apply the division lemma to 870 and 733, to get
870 = 733 x 1 + 137
Step 2: Since the reminder 733 ≠ 0, we apply division lemma to 137 and 733, to get
733 = 137 x 5 + 48
Step 3: We consider the new divisor 137 and the new remainder 48, and apply the division lemma to get
137 = 48 x 2 + 41
We consider the new divisor 48 and the new remainder 41,and apply the division lemma to get
48 = 41 x 1 + 7
We consider the new divisor 41 and the new remainder 7,and apply the division lemma to get
41 = 7 x 5 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 733 and 870 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(41,7) = HCF(48,41) = HCF(137,48) = HCF(733,137) = HCF(870,733) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 308 > 1, we apply the division lemma to 308 and 1, to get
308 = 1 x 308 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 308 is 1
Notice that 1 = HCF(308,1) .
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Frequently Asked Questions on HCF of 733, 870, 308 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 733, 870, 308?
Answer: HCF of 733, 870, 308 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 733, 870, 308 using Euclid's Algorithm?
Answer: For arbitrary numbers 733, 870, 308 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
