Highest Common Factor of 757, 448 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 757, 448 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 757, 448 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 757, 448 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 757, 448 is 1.
HCF(757, 448) = 1
HCF of 757, 448 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 757, 448 is 1.
Highest Common Factor of 757,448 is 1
Step 1: Since 757 > 448, we apply the division lemma to 757 and 448, to get
757 = 448 x 1 + 309
Step 2: Since the reminder 448 ≠ 0, we apply division lemma to 309 and 448, to get
448 = 309 x 1 + 139
Step 3: We consider the new divisor 309 and the new remainder 139, and apply the division lemma to get
309 = 139 x 2 + 31
We consider the new divisor 139 and the new remainder 31,and apply the division lemma to get
139 = 31 x 4 + 15
We consider the new divisor 31 and the new remainder 15,and apply the division lemma to get
31 = 15 x 2 + 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 757 and 448 is 1
Notice that 1 = HCF(15,1) = HCF(31,15) = HCF(139,31) = HCF(309,139) = HCF(448,309) = HCF(757,448) .
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Frequently Asked Questions on HCF of 757, 448 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 757, 448?
Answer: HCF of 757, 448 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 757, 448 using Euclid's Algorithm?
Answer: For arbitrary numbers 757, 448 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.