Highest Common Factor of 680, 544, 922 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 680, 544, 922 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 680, 544, 922 is 2 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 680, 544, 922 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 680, 544, 922 is 2.
HCF(680, 544, 922) = 2
HCF of 680, 544, 922 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 680, 544, 922 is 2.
Highest Common Factor of 680,544,922 is 2
Step 1: Since 680 > 544, we apply the division lemma to 680 and 544, to get
680 = 544 x 1 + 136
Step 2: Since the reminder 544 ≠ 0, we apply division lemma to 136 and 544, to get
544 = 136 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 136, the HCF of 680 and 544 is 136
Notice that 136 = HCF(544,136) = HCF(680,544) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 922 > 136, we apply the division lemma to 922 and 136, to get
922 = 136 x 6 + 106
Step 2: Since the reminder 136 ≠ 0, we apply division lemma to 106 and 136, to get
136 = 106 x 1 + 30
Step 3: We consider the new divisor 106 and the new remainder 30, and apply the division lemma to get
106 = 30 x 3 + 16
We consider the new divisor 30 and the new remainder 16,and apply the division lemma to get
30 = 16 x 1 + 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 136 and 922 is 2
Notice that 2 = HCF(14,2) = HCF(16,14) = HCF(30,16) = HCF(106,30) = HCF(136,106) = HCF(922,136) .
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Frequently Asked Questions on HCF of 680, 544, 922 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 680, 544, 922?
Answer: HCF of 680, 544, 922 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 680, 544, 922 using Euclid's Algorithm?
Answer: For arbitrary numbers 680, 544, 922 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.