Highest Common Factor of 4877, 9120 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 4877, 9120 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4877, 9120 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 4877, 9120 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 4877, 9120 is 1.
HCF(4877, 9120) = 1
HCF of 4877, 9120 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4877, 9120 is 1.
Highest Common Factor of 4877,9120 is 1
Step 1: Since 9120 > 4877, we apply the division lemma to 9120 and 4877, to get
9120 = 4877 x 1 + 4243
Step 2: Since the reminder 4877 ≠ 0, we apply division lemma to 4243 and 4877, to get
4877 = 4243 x 1 + 634
Step 3: We consider the new divisor 4243 and the new remainder 634, and apply the division lemma to get
4243 = 634 x 6 + 439
We consider the new divisor 634 and the new remainder 439,and apply the division lemma to get
634 = 439 x 1 + 195
We consider the new divisor 439 and the new remainder 195,and apply the division lemma to get
439 = 195 x 2 + 49
We consider the new divisor 195 and the new remainder 49,and apply the division lemma to get
195 = 49 x 3 + 48
We consider the new divisor 49 and the new remainder 48,and apply the division lemma to get
49 = 48 x 1 + 1
We consider the new divisor 48 and the new remainder 1,and apply the division lemma to get
48 = 1 x 48 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4877 and 9120 is 1
Notice that 1 = HCF(48,1) = HCF(49,48) = HCF(195,49) = HCF(439,195) = HCF(634,439) = HCF(4243,634) = HCF(4877,4243) = HCF(9120,4877) .
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Frequently Asked Questions on HCF of 4877, 9120 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 4877, 9120?
Answer: HCF of 4877, 9120 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4877, 9120 using Euclid's Algorithm?
Answer: For arbitrary numbers 4877, 9120 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.