Highest Common Factor of 308, 757 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, 757 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 308, 757 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, 757 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, 757 is 1.
HCF(308, 757) = 1
HCF of 308, 757 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, 757 is 1.
Highest Common Factor of 308,757 is 1
Step 1: Since 757 > 308, we apply the division lemma to 757 and 308, to get
757 = 308 x 2 + 141
Step 2: Since the reminder 308 ≠ 0, we apply division lemma to 141 and 308, to get
308 = 141 x 2 + 26
Step 3: We consider the new divisor 141 and the new remainder 26, and apply the division lemma to get
141 = 26 x 5 + 11
We consider the new divisor 26 and the new remainder 11,and apply the division lemma to get
26 = 11 x 2 + 4
We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get
11 = 4 x 2 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 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 308 and 757 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(26,11) = HCF(141,26) = HCF(308,141) = HCF(757,308) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 308, 757 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, 757?
Answer: HCF of 308, 757 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 308, 757 using Euclid's Algorithm?
Answer: For arbitrary numbers 308, 757 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.