Highest Common Factor of 938, 5078, 7278 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 938, 5078, 7278 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 938, 5078, 7278 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 938, 5078, 7278 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 938, 5078, 7278 is 2.
HCF(938, 5078, 7278) = 2
HCF of 938, 5078, 7278 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 938, 5078, 7278 is 2.
Highest Common Factor of 938,5078,7278 is 2
Step 1: Since 5078 > 938, we apply the division lemma to 5078 and 938, to get
5078 = 938 x 5 + 388
Step 2: Since the reminder 938 ≠ 0, we apply division lemma to 388 and 938, to get
938 = 388 x 2 + 162
Step 3: We consider the new divisor 388 and the new remainder 162, and apply the division lemma to get
388 = 162 x 2 + 64
We consider the new divisor 162 and the new remainder 64,and apply the division lemma to get
162 = 64 x 2 + 34
We consider the new divisor 64 and the new remainder 34,and apply the division lemma to get
64 = 34 x 1 + 30
We consider the new divisor 34 and the new remainder 30,and apply the division lemma to get
34 = 30 x 1 + 4
We consider the new divisor 30 and the new remainder 4,and apply the division lemma to get
30 = 4 x 7 + 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 938 and 5078 is 2
Notice that 2 = HCF(4,2) = HCF(30,4) = HCF(34,30) = HCF(64,34) = HCF(162,64) = HCF(388,162) = HCF(938,388) = HCF(5078,938) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 7278 > 2, we apply the division lemma to 7278 and 2, to get
7278 = 2 x 3639 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 7278 is 2
Notice that 2 = HCF(7278,2) .
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Frequently Asked Questions on HCF of 938, 5078, 7278 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 938, 5078, 7278?
Answer: HCF of 938, 5078, 7278 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 938, 5078, 7278 using Euclid's Algorithm?
Answer: For arbitrary numbers 938, 5078, 7278 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.