Highest Common Factor of 847, 757, 448, 89 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 847, 757, 448, 89 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 847, 757, 448, 89 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 847, 757, 448, 89 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 847, 757, 448, 89 is 1.
HCF(847, 757, 448, 89) = 1
HCF of 847, 757, 448, 89 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 847, 757, 448, 89 is 1.
Highest Common Factor of 847,757,448,89 is 1
Step 1: Since 847 > 757, we apply the division lemma to 847 and 757, to get
847 = 757 x 1 + 90
Step 2: Since the reminder 757 ≠ 0, we apply division lemma to 90 and 757, to get
757 = 90 x 8 + 37
Step 3: We consider the new divisor 90 and the new remainder 37, and apply the division lemma to get
90 = 37 x 2 + 16
We consider the new divisor 37 and the new remainder 16,and apply the division lemma to get
37 = 16 x 2 + 5
We consider the new divisor 16 and the new remainder 5,and apply the division lemma to get
16 = 5 x 3 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 847 and 757 is 1
Notice that 1 = HCF(5,1) = HCF(16,5) = HCF(37,16) = HCF(90,37) = HCF(757,90) = HCF(847,757) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 448 > 1, we apply the division lemma to 448 and 1, to get
448 = 1 x 448 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 448 is 1
Notice that 1 = HCF(448,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 89 > 1, we apply the division lemma to 89 and 1, to get
89 = 1 x 89 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 89 is 1
Notice that 1 = HCF(89,1) .
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Frequently Asked Questions on HCF of 847, 757, 448, 89 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 847, 757, 448, 89?
Answer: HCF of 847, 757, 448, 89 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 847, 757, 448, 89 using Euclid's Algorithm?
Answer: For arbitrary numbers 847, 757, 448, 89 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.