Highest Common Factor of 848, 1660 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 848, 1660 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 848, 1660 is 4 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 848, 1660 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 848, 1660 is 4.
HCF(848, 1660) = 4
HCF of 848, 1660 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 848, 1660 is 4.
Highest Common Factor of 848,1660 is 4
Step 1: Since 1660 > 848, we apply the division lemma to 1660 and 848, to get
1660 = 848 x 1 + 812
Step 2: Since the reminder 848 ≠ 0, we apply division lemma to 812 and 848, to get
848 = 812 x 1 + 36
Step 3: We consider the new divisor 812 and the new remainder 36, and apply the division lemma to get
812 = 36 x 22 + 20
We consider the new divisor 36 and the new remainder 20,and apply the division lemma to get
36 = 20 x 1 + 16
We consider the new divisor 20 and the new remainder 16,and apply the division lemma to get
20 = 16 x 1 + 4
We consider the new divisor 16 and the new remainder 4,and apply the division lemma to get
16 = 4 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 848 and 1660 is 4
Notice that 4 = HCF(16,4) = HCF(20,16) = HCF(36,20) = HCF(812,36) = HCF(848,812) = HCF(1660,848) .
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Frequently Asked Questions on HCF of 848, 1660 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 848, 1660?
Answer: HCF of 848, 1660 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 848, 1660 using Euclid's Algorithm?
Answer: For arbitrary numbers 848, 1660 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
