Highest Common Factor of 4855, 7478 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 4855, 7478 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4855, 7478 is 1 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 4855, 7478 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 4855, 7478 is 1.
HCF(4855, 7478) = 1
HCF of 4855, 7478 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4855, 7478 is 1.
Highest Common Factor of 4855,7478 is 1
Step 1: Since 7478 > 4855, we apply the division lemma to 7478 and 4855, to get
7478 = 4855 x 1 + 2623
Step 2: Since the reminder 4855 ≠ 0, we apply division lemma to 2623 and 4855, to get
4855 = 2623 x 1 + 2232
Step 3: We consider the new divisor 2623 and the new remainder 2232, and apply the division lemma to get
2623 = 2232 x 1 + 391
We consider the new divisor 2232 and the new remainder 391,and apply the division lemma to get
2232 = 391 x 5 + 277
We consider the new divisor 391 and the new remainder 277,and apply the division lemma to get
391 = 277 x 1 + 114
We consider the new divisor 277 and the new remainder 114,and apply the division lemma to get
277 = 114 x 2 + 49
We consider the new divisor 114 and the new remainder 49,and apply the division lemma to get
114 = 49 x 2 + 16
We consider the new divisor 49 and the new remainder 16,and apply the division lemma to get
49 = 16 x 3 + 1
We consider the new divisor 16 and the new remainder 1,and apply the division lemma to get
16 = 1 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4855 and 7478 is 1
Notice that 1 = HCF(16,1) = HCF(49,16) = HCF(114,49) = HCF(277,114) = HCF(391,277) = HCF(2232,391) = HCF(2623,2232) = HCF(4855,2623) = HCF(7478,4855) .
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Frequently Asked Questions on HCF of 4855, 7478 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 4855, 7478?
Answer: HCF of 4855, 7478 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4855, 7478 using Euclid's Algorithm?
Answer: For arbitrary numbers 4855, 7478 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.