Highest Common Factor of 889, 6748, 7353 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 889, 6748, 7353 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 889, 6748, 7353 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 889, 6748, 7353 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 889, 6748, 7353 is 1.
HCF(889, 6748, 7353) = 1
HCF of 889, 6748, 7353 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 889, 6748, 7353 is 1.
Highest Common Factor of 889,6748,7353 is 1
Step 1: Since 6748 > 889, we apply the division lemma to 6748 and 889, to get
6748 = 889 x 7 + 525
Step 2: Since the reminder 889 ≠ 0, we apply division lemma to 525 and 889, to get
889 = 525 x 1 + 364
Step 3: We consider the new divisor 525 and the new remainder 364, and apply the division lemma to get
525 = 364 x 1 + 161
We consider the new divisor 364 and the new remainder 161,and apply the division lemma to get
364 = 161 x 2 + 42
We consider the new divisor 161 and the new remainder 42,and apply the division lemma to get
161 = 42 x 3 + 35
We consider the new divisor 42 and the new remainder 35,and apply the division lemma to get
42 = 35 x 1 + 7
We consider the new divisor 35 and the new remainder 7,and apply the division lemma to get
35 = 7 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 889 and 6748 is 7
Notice that 7 = HCF(35,7) = HCF(42,35) = HCF(161,42) = HCF(364,161) = HCF(525,364) = HCF(889,525) = HCF(6748,889) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 7353 > 7, we apply the division lemma to 7353 and 7, to get
7353 = 7 x 1050 + 3
Step 2: Since the reminder 7 ≠ 0, we apply division lemma to 3 and 7, to get
7 = 3 x 2 + 1
Step 3: 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 7 and 7353 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(7353,7) .
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Frequently Asked Questions on HCF of 889, 6748, 7353 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 889, 6748, 7353?
Answer: HCF of 889, 6748, 7353 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 889, 6748, 7353 using Euclid's Algorithm?
Answer: For arbitrary numbers 889, 6748, 7353 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.