Highest Common Factor of 622, 994, 224, 700 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 622, 994, 224, 700 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 622, 994, 224, 700 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 622, 994, 224, 700 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 622, 994, 224, 700 is 2.
HCF(622, 994, 224, 700) = 2
HCF of 622, 994, 224, 700 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 622, 994, 224, 700 is 2.
Highest Common Factor of 622,994,224,700 is 2
Step 1: Since 994 > 622, we apply the division lemma to 994 and 622, to get
994 = 622 x 1 + 372
Step 2: Since the reminder 622 ≠ 0, we apply division lemma to 372 and 622, to get
622 = 372 x 1 + 250
Step 3: We consider the new divisor 372 and the new remainder 250, and apply the division lemma to get
372 = 250 x 1 + 122
We consider the new divisor 250 and the new remainder 122,and apply the division lemma to get
250 = 122 x 2 + 6
We consider the new divisor 122 and the new remainder 6,and apply the division lemma to get
122 = 6 x 20 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 622 and 994 is 2
Notice that 2 = HCF(6,2) = HCF(122,6) = HCF(250,122) = HCF(372,250) = HCF(622,372) = HCF(994,622) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 224 > 2, we apply the division lemma to 224 and 2, to get
224 = 2 x 112 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 224 is 2
Notice that 2 = HCF(224,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 700 > 2, we apply the division lemma to 700 and 2, to get
700 = 2 x 350 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 700 is 2
Notice that 2 = HCF(700,2) .
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Frequently Asked Questions on HCF of 622, 994, 224, 700 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 622, 994, 224, 700?
Answer: HCF of 622, 994, 224, 700 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 622, 994, 224, 700 using Euclid's Algorithm?
Answer: For arbitrary numbers 622, 994, 224, 700 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.