Highest Common Factor of 634, 968, 946, 742 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 634, 968, 946, 742 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 634, 968, 946, 742 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 634, 968, 946, 742 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 634, 968, 946, 742 is 2.
HCF(634, 968, 946, 742) = 2
HCF of 634, 968, 946, 742 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 634, 968, 946, 742 is 2.
Highest Common Factor of 634,968,946,742 is 2
Step 1: Since 968 > 634, we apply the division lemma to 968 and 634, to get
968 = 634 x 1 + 334
Step 2: Since the reminder 634 ≠ 0, we apply division lemma to 334 and 634, to get
634 = 334 x 1 + 300
Step 3: We consider the new divisor 334 and the new remainder 300, and apply the division lemma to get
334 = 300 x 1 + 34
We consider the new divisor 300 and the new remainder 34,and apply the division lemma to get
300 = 34 x 8 + 28
We consider the new divisor 34 and the new remainder 28,and apply the division lemma to get
34 = 28 x 1 + 6
We consider the new divisor 28 and the new remainder 6,and apply the division lemma to get
28 = 6 x 4 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 634 and 968 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(28,6) = HCF(34,28) = HCF(300,34) = HCF(334,300) = HCF(634,334) = HCF(968,634) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 946 > 2, we apply the division lemma to 946 and 2, to get
946 = 2 x 473 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 946 is 2
Notice that 2 = HCF(946,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 742 > 2, we apply the division lemma to 742 and 2, to get
742 = 2 x 371 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 742 is 2
Notice that 2 = HCF(742,2) .
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Frequently Asked Questions on HCF of 634, 968, 946, 742 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 634, 968, 946, 742?
Answer: HCF of 634, 968, 946, 742 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 634, 968, 946, 742 using Euclid's Algorithm?
Answer: For arbitrary numbers 634, 968, 946, 742 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.