Highest Common Factor of 977, 4802 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 977, 4802 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 977, 4802 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 977, 4802 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 977, 4802 is 1.
HCF(977, 4802) = 1
HCF of 977, 4802 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 977, 4802 is 1.
Highest Common Factor of 977,4802 is 1
Step 1: Since 4802 > 977, we apply the division lemma to 4802 and 977, to get
4802 = 977 x 4 + 894
Step 2: Since the reminder 977 ≠ 0, we apply division lemma to 894 and 977, to get
977 = 894 x 1 + 83
Step 3: We consider the new divisor 894 and the new remainder 83, and apply the division lemma to get
894 = 83 x 10 + 64
We consider the new divisor 83 and the new remainder 64,and apply the division lemma to get
83 = 64 x 1 + 19
We consider the new divisor 64 and the new remainder 19,and apply the division lemma to get
64 = 19 x 3 + 7
We consider the new divisor 19 and the new remainder 7,and apply the division lemma to get
19 = 7 x 2 + 5
We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get
7 = 5 x 1 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 977 and 4802 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(19,7) = HCF(64,19) = HCF(83,64) = HCF(894,83) = HCF(977,894) = HCF(4802,977) .
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Frequently Asked Questions on HCF of 977, 4802 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 977, 4802?
Answer: HCF of 977, 4802 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 977, 4802 using Euclid's Algorithm?
Answer: For arbitrary numbers 977, 4802 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
