Highest Common Factor of 308, 787, 304, 68 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 308, 787, 304, 68 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 308, 787, 304, 68 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 308, 787, 304, 68 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 308, 787, 304, 68 is 1.
HCF(308, 787, 304, 68) = 1
HCF of 308, 787, 304, 68 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 308, 787, 304, 68 is 1.
Highest Common Factor of 308,787,304,68 is 1
Step 1: Since 787 > 308, we apply the division lemma to 787 and 308, to get
787 = 308 x 2 + 171
Step 2: Since the reminder 308 ≠ 0, we apply division lemma to 171 and 308, to get
308 = 171 x 1 + 137
Step 3: We consider the new divisor 171 and the new remainder 137, and apply the division lemma to get
171 = 137 x 1 + 34
We consider the new divisor 137 and the new remainder 34,and apply the division lemma to get
137 = 34 x 4 + 1
We consider the new divisor 34 and the new remainder 1,and apply the division lemma to get
34 = 1 x 34 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 308 and 787 is 1
Notice that 1 = HCF(34,1) = HCF(137,34) = HCF(171,137) = HCF(308,171) = HCF(787,308) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 304 > 1, we apply the division lemma to 304 and 1, to get
304 = 1 x 304 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 304 is 1
Notice that 1 = HCF(304,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 68 > 1, we apply the division lemma to 68 and 1, to get
68 = 1 x 68 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 68 is 1
Notice that 1 = HCF(68,1) .
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Frequently Asked Questions on HCF of 308, 787, 304, 68 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 308, 787, 304, 68?
Answer: HCF of 308, 787, 304, 68 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 308, 787, 304, 68 using Euclid's Algorithm?
Answer: For arbitrary numbers 308, 787, 304, 68 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.