Highest Common Factor of 4855, 7846 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, 7846 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4855, 7846 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, 7846 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, 7846 is 1.
HCF(4855, 7846) = 1
HCF of 4855, 7846 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, 7846 is 1.
Highest Common Factor of 4855,7846 is 1
Step 1: Since 7846 > 4855, we apply the division lemma to 7846 and 4855, to get
7846 = 4855 x 1 + 2991
Step 2: Since the reminder 4855 ≠ 0, we apply division lemma to 2991 and 4855, to get
4855 = 2991 x 1 + 1864
Step 3: We consider the new divisor 2991 and the new remainder 1864, and apply the division lemma to get
2991 = 1864 x 1 + 1127
We consider the new divisor 1864 and the new remainder 1127,and apply the division lemma to get
1864 = 1127 x 1 + 737
We consider the new divisor 1127 and the new remainder 737,and apply the division lemma to get
1127 = 737 x 1 + 390
We consider the new divisor 737 and the new remainder 390,and apply the division lemma to get
737 = 390 x 1 + 347
We consider the new divisor 390 and the new remainder 347,and apply the division lemma to get
390 = 347 x 1 + 43
We consider the new divisor 347 and the new remainder 43,and apply the division lemma to get
347 = 43 x 8 + 3
We consider the new divisor 43 and the new remainder 3,and apply the division lemma to get
43 = 3 x 14 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4855 and 7846 is 1
Notice that 1 = HCF(3,1) = HCF(43,3) = HCF(347,43) = HCF(390,347) = HCF(737,390) = HCF(1127,737) = HCF(1864,1127) = HCF(2991,1864) = HCF(4855,2991) = HCF(7846,4855) .
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Frequently Asked Questions on HCF of 4855, 7846 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, 7846?
Answer: HCF of 4855, 7846 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4855, 7846 using Euclid's Algorithm?
Answer: For arbitrary numbers 4855, 7846 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.