Highest Common Factor of 922, 1988, 2242 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 922, 1988, 2242 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 922, 1988, 2242 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 922, 1988, 2242 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 922, 1988, 2242 is 2.
HCF(922, 1988, 2242) = 2
HCF of 922, 1988, 2242 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 922, 1988, 2242 is 2.
Highest Common Factor of 922,1988,2242 is 2
Step 1: Since 1988 > 922, we apply the division lemma to 1988 and 922, to get
1988 = 922 x 2 + 144
Step 2: Since the reminder 922 ≠ 0, we apply division lemma to 144 and 922, to get
922 = 144 x 6 + 58
Step 3: We consider the new divisor 144 and the new remainder 58, and apply the division lemma to get
144 = 58 x 2 + 28
We consider the new divisor 58 and the new remainder 28,and apply the division lemma to get
58 = 28 x 2 + 2
We consider the new divisor 28 and the new remainder 2,and apply the division lemma to get
28 = 2 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 922 and 1988 is 2
Notice that 2 = HCF(28,2) = HCF(58,28) = HCF(144,58) = HCF(922,144) = HCF(1988,922) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 2242 > 2, we apply the division lemma to 2242 and 2, to get
2242 = 2 x 1121 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 2242 is 2
Notice that 2 = HCF(2242,2) .
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Frequently Asked Questions on HCF of 922, 1988, 2242 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 922, 1988, 2242?
Answer: HCF of 922, 1988, 2242 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 922, 1988, 2242 using Euclid's Algorithm?
Answer: For arbitrary numbers 922, 1988, 2242 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.