Highest Common Factor of 448, 726, 746, 853 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 448, 726, 746, 853 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 448, 726, 746, 853 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 448, 726, 746, 853 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 448, 726, 746, 853 is 1.
HCF(448, 726, 746, 853) = 1
HCF of 448, 726, 746, 853 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 448, 726, 746, 853 is 1.
Highest Common Factor of 448,726,746,853 is 1
Step 1: Since 726 > 448, we apply the division lemma to 726 and 448, to get
726 = 448 x 1 + 278
Step 2: Since the reminder 448 ≠ 0, we apply division lemma to 278 and 448, to get
448 = 278 x 1 + 170
Step 3: We consider the new divisor 278 and the new remainder 170, and apply the division lemma to get
278 = 170 x 1 + 108
We consider the new divisor 170 and the new remainder 108,and apply the division lemma to get
170 = 108 x 1 + 62
We consider the new divisor 108 and the new remainder 62,and apply the division lemma to get
108 = 62 x 1 + 46
We consider the new divisor 62 and the new remainder 46,and apply the division lemma to get
62 = 46 x 1 + 16
We consider the new divisor 46 and the new remainder 16,and apply the division lemma to get
46 = 16 x 2 + 14
We consider the new divisor 16 and the new remainder 14,and apply the division lemma to get
16 = 14 x 1 + 2
We consider the new divisor 14 and the new remainder 2,and apply the division lemma to get
14 = 2 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 448 and 726 is 2
Notice that 2 = HCF(14,2) = HCF(16,14) = HCF(46,16) = HCF(62,46) = HCF(108,62) = HCF(170,108) = HCF(278,170) = HCF(448,278) = HCF(726,448) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 746 > 2, we apply the division lemma to 746 and 2, to get
746 = 2 x 373 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 746 is 2
Notice that 2 = HCF(746,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 853 > 2, we apply the division lemma to 853 and 2, to get
853 = 2 x 426 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2 and 853 is 1
Notice that 1 = HCF(2,1) = HCF(853,2) .
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Frequently Asked Questions on HCF of 448, 726, 746, 853 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 448, 726, 746, 853?
Answer: HCF of 448, 726, 746, 853 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 448, 726, 746, 853 using Euclid's Algorithm?
Answer: For arbitrary numbers 448, 726, 746, 853 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
