Highest Common Factor of 504, 944, 916, 664 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 504, 944, 916, 664 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 504, 944, 916, 664 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 504, 944, 916, 664 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 504, 944, 916, 664 is 4.
HCF(504, 944, 916, 664) = 4
HCF of 504, 944, 916, 664 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 504, 944, 916, 664 is 4.
Highest Common Factor of 504,944,916,664 is 4
Step 1: Since 944 > 504, we apply the division lemma to 944 and 504, to get
944 = 504 x 1 + 440
Step 2: Since the reminder 504 ≠ 0, we apply division lemma to 440 and 504, to get
504 = 440 x 1 + 64
Step 3: We consider the new divisor 440 and the new remainder 64, and apply the division lemma to get
440 = 64 x 6 + 56
We consider the new divisor 64 and the new remainder 56,and apply the division lemma to get
64 = 56 x 1 + 8
We consider the new divisor 56 and the new remainder 8,and apply the division lemma to get
56 = 8 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 504 and 944 is 8
Notice that 8 = HCF(56,8) = HCF(64,56) = HCF(440,64) = HCF(504,440) = HCF(944,504) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 916 > 8, we apply the division lemma to 916 and 8, to get
916 = 8 x 114 + 4
Step 2: Since the reminder 8 ≠ 0, we apply division lemma to 4 and 8, to get
8 = 4 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 8 and 916 is 4
Notice that 4 = HCF(8,4) = HCF(916,8) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 664 > 4, we apply the division lemma to 664 and 4, to get
664 = 4 x 166 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 4 and 664 is 4
Notice that 4 = HCF(664,4) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 504, 944, 916, 664 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 504, 944, 916, 664?
Answer: HCF of 504, 944, 916, 664 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 504, 944, 916, 664 using Euclid's Algorithm?
Answer: For arbitrary numbers 504, 944, 916, 664 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.